can you solve this question?

Emilio will have to repay loan of a total of $1404 in 2 years.

To calculate the simple interest, we use the formula:

I = Prt

where:

I is the interest

P is the principal (the amount borrowed)

r is the interest rate per year

t is the time in years

In this case, Emilio borrowed $1200, the interest rate is 8.5%, and the time is 2 years, so we have:

I = 1200 * 0.085 * 2 = $204

Therefore, Emilio will have to pay back the principal plus the interest, which is:

1200 + 204 = $1404

So, Emilio will have to pay back a total of $1404 in 2 years.

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The equation of the line that represents the axis of symmetry of the quadratic function y = 2x² - 16x + 15 is x = 4.

A quadratic equation is a second-degree polynomial equation in a single variable, where the variable is typically denoted by x.

The axis of symmetry of a quadratic function in standard form (y = ax² + bx + c) is a vertical line that passes through the vertex of the parabola. The x-coordinate of the vertex is given by -b/2a, so the equation of the axis of symmetry can be written as x = -b/2a.

In this case, the values of a, b, and c are given as a = 2, b = -16, and c = 15. Substituting these values into the formula for the axis of symmetry, we get:

x = -b/2a

x = -(-16)/(2*2)

x = 4

Therefore, the equation of the line that represents the axis of symmetry of the quadratic function y = 2x² - 16x + 15 is:

x = 4.

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There are roughly 6.99 feet distance between the pole and each point in the circle.

The measurement of the space a circle encloses is its area.

Calculating it requires adding the mathematical constant pi to the square of the circle's radius (π ≈ 3.14159).

The formula for determining a circle's area is A = r².

A vertical pole in the middle of a circle-shaped flower garden signifies the garden's circular shape.

The garden is described as having a 121 ft² space.

Any point on the circle is r radians away from the pole because the pole is at its centre.

In order to calculate the radius of a circle, we can use the following formula:

A = πr²

121 = πr²

r² = 121/π

r = 6.99

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Answer:    The common ratio (r) of a geometric sequence can be found by dividing any term by its preceding term. Let's use the first two terms of the sequence:

r = (-10) / (-5) = 2

Now that we know the common ratio, we can find the next two terms:

The fourth term:

a4 = ar^3 = (-5)(2)^3 = -40

The fifth term:

a5 = ar^4 = (-5)(2)^4 = -80

Therefore, the next two terms of the sequence are -40 and -80, respectively.

Step-by-step explanation:

The roots of the quadratic equation are  (3 ± √(-19) / 2. Hence, the polynomial has no real roots.

The roots of an equation are the values of the variable that make the equation equal to zero. In a quadratic equation of the form ax²+bx+c=0, the roots can be found by using the quadratic formula:

x = (-b ± √(b²-4ac)) / 2a

Here we have

The quadratic equation x²- 3x+7

To find the roots of the quadratic equation x²-3x+7, we can use the quadratic formula, which states that the roots are given by:

x = (-b ± √(b²-4ac) / 2a

where a, b, and c are the coefficients of the quadratic equation.

In this case, we have a = 1, b = -3, and c = 7.

Substituting these values into the formula, we get:

x = (-(-3) ± √[ (-3)² - 4(1)(7) ] / 2(1)

x = (3 ± √(9 - 28)) / 2

x = (3 ± √(-19) / 2

Therefore,

The roots of the quadratic equation are  (3 ± √(-19) / 2. Hence, the polynomial has no real roots.

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Complete Question

Jenny is trying to find the real roots of x²-3x+7 by using the quadratic

find the real roots of the equation.

Answer:

179 in^2

Step-by-step explanation:

Given:

A rectangular pyramid

h (side height) = 7,2 in

l (base length) = 8 in

Find: A (surface area) - ?

The surface area is equal to the sum of all sides' areas

First, let's find the area of the base (I assume, this is a square, since nothing else is given):

[tex]a(base) = {8}^{2} = 64 \: {in}^{2} [/tex]

Now, let's find the lateral surface (4 triangles):

[tex]a(lateral) = 4 \times \frac{1}{2} \times 8 \times 7.2 = 115.2 \: {in}^{2} [/tex]

Finally, let's add these together and we'll get the total surface area:

[tex]a(surface) = 64 + 115.2 = 179.2 \: {in}^{2} [/tex]≈179 in^2

Answer:

R$ 5.938,12

Step-by-step explanation:

Para calcular o preço de venda sugerido, precisamos levar em consideração o custo do produto, as comissões sobre o custo, o ICMS sobre o preço de venda, o PIS e COFINS sobre o preço de venda e o IPI sobre o preço com impostos e comissões.

Custo do Produto: R$ 5.000,00

Comissões sobre o custo do produto: 2%

ICMS sobre o preço de venda: 7%

PIS e COFINS sobre o preço de venda: 3,65%

IPI sobre o preço com impostos e comissões: 5%

Vamos calcular os valores dos impostos e comissões separadamente primeiro:

Comissões sobre o custo do produto:

2% de R$ 5.000,00 = R$ 100,00

ICMS sobre o preço de venda:

7% de preço de venda = 7% de (Custo do Produto + Comissões)

7% de (R$ 5.000,00 + R$ 100,00) = R$ 350,00

PIS e COFINS sobre o preço de venda:

3,65% de preço de venda = 3,65% de (Custo do Produto + Comissões + ICMS)

3,65% de (R$ 5.000,00 + R$ 100,00 + R$ 350,00) = R$ 196,25

IPI sobre o preço com impostos e comissões:

5% de preço com impostos e comissões = 5% de (Custo do Produto + Comissões + ICMS + PIS/COFINS)

5% de (R$ 5.000,00 + R$ 100,00 + R$ 350,00 + R$ 196,25) = R$ 292,87

Agora, podemos somar todos esses valores ao custo do produto para obter o preço de venda sugerido:

Custo do Produto: R$ 5.000,00

Comissões: R$ 100,00

ICMS: R$ 350,00

PIS/COFINS: R$ 196,25

IPI: R$ 292,87

Preço de Venda Sugerido = Custo do Produto + Comissões + ICMS + PIS/COFINS + IPI

Preço de Venda Sugerido = R$ 5.000,00 + R$ 100,00 + R$ 350,00 + R$ 196,25 + R$ 292,87

Preço de Venda Sugerido = R$ 5.938,12

Portanto, o preço de venda sugerido para o produto, levando em consideração as informações fornecidas, é de R$ 5.938,12.

the required annual interest rate, to the nearest tenth of a percent, is 10.1%

The amount that a lender charges a borrower for the use of money is known as an interest rate, and it is often represented as a percentage of the principle amount (the amount borrowed). It is either the fee for borrowing money or the compensation for lending it.

To find the annual interest rate compounded monthly, we need to use the formula:

[tex]A = P(1 + r/12)^(12*n)[/tex]

where:

A = the final amount

P = the initial principal

r = the annual interest rate (as a decimal)

n = the number of years

In this case, we know that P = 923, A = 1540, n = 2 years, and interest is compounded monthly, which means that there are 12 compounding periods per year.

We can use logarithms to solve for r:

[tex]A = P(1 + r/12)^(12n)[/tex]

[tex]1540 = 923(1 + r/12)^(122)[/tex]

[tex]1540/923 = (1 + r/12)^24[/tex]

[tex]ln(1540/923) = 24 ln(1 + r/12)[/tex]

[tex]ln(1540/923)/24 = ln(1 + r/12)[/tex]

[tex]e^(ln(1540/923)/24) - 1 = r/12[/tex]

[tex]r = 12(e^(ln(1540/923)/24) - 1)[/tex]

Using a calculator, we find that:

r ≈ 0.1009

So the required annual interest rate, to the nearest tenth of a percent, is 10.1%.

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Answer:

approximately 21.05 mg.

Step-by-step explanation:

The mass of a radioactive particle at any given time can be calculated using the following formula:

m(t) = m(0) * (1/2)^(t/T)

where:

m(t) = mass of the particle at time t

m(0) = initial mass of the particle

t = time elapsed since the start of the decay process

T = half-life of the particle

Using this formula, we can solve the given problem as follows:

a. The mass at t=0:

Since we are given the initial mass of the particle, we can simply state that:

m(0) = 50 mg

b. Its mass after 40 minutes:

We can use the formula above to calculate the mass of the particle after 40 minutes:

m(40) = m(0) * (1/2)^(40/30)

m(40) = 50 * (1/2)^(4/3)

m(40) = 50 * 0.421

m(40) = 21.05 mg (rounded to two decimal places)

Therefore, the mass of the particle after 40 minutes is approximately 21.05 mg.

The triangle ABC is a right-angled triangle.

What is the right-angled triangle?

A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangle triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.

Here, we have

Given: the points A, B, and C have the coordinates A (5, 2), B (2, -3), and C (-8, 3).

We have to show that the triangle ABC is a right-angled triangle.​

Now, we find the vectors of AB, BC & AC:

AB = (2-5)i+(-3-2)j = -3i-5j

BC = (-8-2)i+(3-(-3))j = -10i+6j

AC = (-8-5)i+(3-2)j = -13i+j

Now if the dot product of two of these vectors results in zero, it means that those vectors (representing the triangle sides) are perpendicular to each other (which means triangle ABC is a right-angled triangle)

AB.BC = (-3)(-10)+(-5)(6) = 30-30 = 0

Hence, the triangle ABC is a right-angled triangle.

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A sequence of transformations that would map PQ onto RS include the following: A. a 90° clockwise rotation about the origin, then a reflection in the x-axis.

In Mathematics and Geometry, a reflection over the x-axis is represented by this transformation rule (x, y) → (x, -y). This ultimately implies that, a reflection over or across the x-axis would maintain the same x-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

For a 90° clockwise rotation about the origin, the new coordinates of P is given by:

(x, y)            →      (y, -x)

P (-6, 10)      →      (10, -(6)) = P' (10, -6)

Next, we would apply a reflection over or across the x-axis;

(x, y)                →      (x, -y)

P' (10, -6)       →      (10, -(-6)) = S (10, 6)

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If you randomly draw a marble from a bag, record its color, and then replace it.  the experimental probability of drawing a red marble on the next trial is 17/20, 0.85.

The experimental probability of drawing a red marble on the next trial is equal to the number of times a red marble was drawn out of the total number of trials, assuming that each trial is independent and the probabilities do not change.

Since a red marble was drawn 17 out of 20 times, the experimental probability of drawing a red marble on the next trial is:

17/20 = 0.85 = 85%

Therefore, the experimental probability of drawing a red marble on the next trial is 17/20, 0.85, or 85%.

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Answer:

105.4 square meters

Step-by-step explanation:

The surface area of a rectangular prism can be calculated by adding the area of all six faces. The formula for the surface area of a rectangular prism is:

SA = 2lw + 2lh + 2wh

where l is the length, w is the width, and h is the height.

Substituting the given values, we get:

SA = 2(5.5)(2.4) + 2(5.5)(5) + 2(2.4)(5)

SA = 26.4 + 55 + 24

SA = 105.4 square meters

Therefore, the surface area of the rectangular prism is 105.4 square meters.

Answer:

105.4 m^2

Step-by-step explanation:

105.4 m^2

Using the surface area formula which is;

A = 2 (lh +wh + lw )

Brainliest?

I would appreciate it!

The function is non-linear in the cost of buying different numbers of bagels shown.

A non-linear function is a mathematical function that doesn't follow a straight line or a constant rate of change. In other words, it's a function that does not have a constant slope. Non-linear functions are used in various fields such as physics, economics, engineering, and more. An example of a non-linear function is the quadratic function f(x) = x². As x increases, the rate of change of y increases as well, resulting in a curved graph. Non-linear functions can have different degrees, such as cubic or quartic functions, and they can be useful in modeling complex real-world phenomena where the relationship between variables is not linear.

Now

2.40 - 1.25 = 1.15

3.45 -2.40 = 1.05

so 1.15 ≠ 1.05

So the function is non-linear because there is not a constant rate of change.

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Answer:

(x –2)^2 + (y –3 )^2 = 3^2

Step-by-step explanation:

(x – h)^2 + (y – k)^2 = r^2 is the equation for a circle

simply plug in r and switch the signs for the center point and plug in for h and k

Each ticket costs $37.5 according to the calculation t = ($175 - $25)/4.

Equation is a mathematical statement that expresses two expressions as equal. It consists of two expressions separated by an equal sign (=). An equation is used to solve for a unknown value by using known values and following the rules of algebra and arithmetic. Equations can be used to solve for a single unknown, multiple unknowns, and even non-numeric values.

Given that the total cost for parking and four tickets to a baseball game is $175.00.

$25 is the parking fee.

4 tickets cost $175 - $25.

Suppose that each ticket costs t.

t =($175 - $25)/4

Each ticket costs $37.5.

The equation follows.Each ticket costs $37.5 according to the calculation t = ($175 - $25)/4.

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There are 3150 possible ways to answers the questions to the test by the student.

The expression for the number of ways to select 6 questions out of the first 10, and 4 questions out of the next 6, is given by the product of the number of permutations or combinations for each selection, since the selections are independent of each other. Therefore, the correct answer is either A or D, depending on whether we use permutations or combinations for each selection.

Option B gives the number of ways to select 4 questions out of the first 10 and 6 questions out of the next 6, which is not what the problem asks for.

Option C gives the sum of the number of ways to select 6 questions out of the first 10 and 4 questions out of the next 6, which counts the cases where some questions from the first set are answered correctly and some from the second set are answered incorrectly, which is not what the problem asks for.

Option E gives the number of ways to select 4 questions out of the first 10, which is not what the problem asks for.

Option F gives the number of ways to select 4 questions out of the first 10, which is not what the problem asks for.

Option G is not a valid expression for the solution, since it combines factorials and parentheses without using any valid operation.

Option H gives the sum of the number of permutations for each selection, which overcounts the cases where some questions from the first set are answered correctly and some from the second set are answered incorrectly.

Option I gives the product of the number of permutations for each selection, which is the correct expression for the solution.

Option J gives the sum of the number of ways to select 6 questions out of the first 10 and 4 questions out of the next 6, which counts the cases where some questions from the first set are answered correctly and some from the second set are answered incorrectly, which is not what the problem asks for.

Therefore, the correct answers are A and D. To evaluate, we can use the formulas:

nPk = n!/(n-k)!

nCk = n!/(k!(n-k)!)

Substituting the values:

A. 10P6 * 6P4 = 10!/(10-6)! * 6!/(6-4)! = 210 * 15 = 3150

D. 10C6 * 6C4 = 10!/(6!4!) * 6!/(4!2!) = 210 * 15 = 3150

Therefore, there are 3150 ways to answer the questions as required.

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Image transcribed:

Give an expression for the answer using permutation notation, combination notation, factorial notation, or other operations. Then evaluate.

Of the first 10 questions on a test, a student must answer 6. Of the second 6 questions, the student must answer 4. In how many ways can this be done?

Identify which notation properly depicts the solution to this problem. Select all that apply.

A. 10P6*6P4

B. 10!/(4!(10-4)!)

C. 10!/(6!(10-6)!) + 6!/(4!(6-4)!)

D. 10C6*6C4

E. 10!/(10-4)!

F. 10C4

G. 10! 6! (10-6)! (6-4)!

H. 10P6 +6P4

I. 10!/(6!(10-6)!) * 6!/(4!(6-4)!)

J. 10!/((10-6)!) + 6!/((6-4)!)

The volume of the rectangular prism is 900 cubic inches.

What is prism?

A prism is a three-dimensional geometric shape that has two identical ends, called bases, and flat, parallel sides that connect the bases.

The formula for the volume of a rectangular prism is:

Volume = Base Area x Height

where the base area is the product of the length and width of the base. Since we are given the base area as 60 square inches, we can write:

Base Area = length x width = 60 sq in

The volume of a rectangular prism is given by multiplying the area of the base by the height. In this case, the height is given as 15 inches, and the area of the base is given as 60 square inches. Therefore, the volume of the rectangular prism can be calculated as follows:

Volume = Base Area x Height

Volume = 60 sq in x 15 in

Volume = 900 cubic inches

Therefore, the volume of the rectangular prism is 900 cubic inches.

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Answer: 2x + 1

Step-by-step explanation:

The graph of f(x) is a straight line passing through the points (0,1) and (3,4). The slope of this line is (4-1)/(3-0) = 1, and the y-intercept is 1.

The graph of g(x) is a transformation of f(x) obtained by shifting it 1 unit upwards and 1 unit to the left. Therefore, the equation for g(x) is:

g(x) = f(x+1) + 1

Substituting f(x) with its equation, we get:

g(x) = (x+1) + 1

Simplifying:

g(x) = 2x + 2

Finally, we can rewrite the equation of g(x) in the standard form as:

g(x) = 2x + 1

Therefore, the equation for g(x) is 2x+1.

Unfortunately, I cannot see the graph you are referring to. However, if the graph shows a linear function f(x) and its transformation g(x), and g(x) is obtained by shifting f(x) horizontally 1 unit to the left and vertically 1 unit upwards, then the equation for g(x) would be g(x) = f(x + 1) + 1. If f(x) is a linear function of the form f(x) = mx + b, then the equation for g(x) would be g(x) = m(x + 1) + b + 1, which simplifies to g(x) = mx + (m + 1). If you provide more information about the graph, I can help you find the equation for g(x).

ANSWER: 2x+1

Step-by-step explanation: Number of water bottles in March = 4,100 + 7% of 4,100

= 4,100 + 287

= 4,387

Number of water bottles in April = 4,387 + 500

= 4,887

Percent increase from February to April = ((4,887 - 4,100) / 4,100) x 100%

= (787 / 4,100) x 100%

= 19.19%

Therefore, the percent increase in the number of water bottles the company manufactured from February to April is approximately 19%.

Answer:

The answer is below---v :)

Step-by-step explanation:

Flower: -7

Heart: 5

House: 17

The missing number in the set is 19 when the median of a data set is given which is 18.

The median is a measure of central tendency in statistics that represents the middle value of a data set when the values are arranged in order from lowest to highest (or highest to lowest). It is the value that separates the lower 50% of the data from the upper 50% of the data.

To find the missing number, we can first rearrange the given numbers in order from smallest to largest:

12, 13, 17, ___, 21, 25

Since the median of the data set is 18, we know that it is the middle value when the numbers are arranged in order. In this case, there are five numbers, so the median is the third number. Therefore, we have:

12, 13, 17, ___, 21, 25

The missing number must be between 17 and 21 in order for 18 to be the median. We can take the average of these two numbers to find the missing value:

(17 + 21) / 2 = 19

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Answer:

80

Step-by-step explanation:

To find the value of n when d = 3, we can use the given inverse proportionality relationship between n and d²:

n ∝ 1/d²

This can also be written as:

n = k / d²

where k is a constant of proportionality.

We are given that n = 5 when d = 12. Plugging in these values into the equation, we get:

5 = k / 12²

To solve for k, we can multiply both sides of the equation by 12²:

5 * 12² = k

k = 720

Now that we have the value of k, we can use it to find the value of n when d = 3:

n = k / d²

n = 720 / 3²

n = 720 / 9

n = 80

So, the value of n when d = 3 is 80.

The value of p is 3, the value of q is 5, and the value of r is 70804.

Let a be the first term of the arithmetic series, and d be the common difference.

From the given information, we have:

a = 22

an = 141 - 5 = 136

d = 3

We can use the formula for the nth term of an arithmetic series to find n:

an = a + (n-1)d

136 = 22 + 3(n-1)

114 = 3n - 3

n = 39

Now we can use the formulas for the sum of an arithmetic series to find p, q, and r:

Sn = n/2(2a + (n-1)d)

= 39/2(2(22) + (39-1)3)

= 39/2(44 + 114)

= 39/2(158)

= 3081

So the sum of the first 39 terms of the series is 3081.

We can write this as p(qt - 1), where t is the nth term of the series:

p(qt - 1) = p(a + (n-1)d)(a + (n-1)dq) - p

= p(22 + 3(39-1))(22 + 3(39-1)q) - p

= p(119)(119q) - p

= p(14161q - 1)

We know that this expression equals 3081, so:

p(14161q - 1) = 3081

Dividing both sides by 3081, we get:

p = 3081/(14161q - 1)

Since p, q, and r are integers, we need to find a factorization of 3081 that includes 14161q - 1 as a factor.

We can start by finding the prime factorization of 3081:

3081 = 3 * 1027

= 3 * 7 * 147

= 3 * 7 * 3 * 49

= 3^2 * 7^2 * 7

Now we can try different values of q and see if 14161q - 1 is a factor of 3081.

If q = 1, then 14161q - 1 = 14160, which is not a factor of 3081.

If q = 2, then 14161q - 1 = 28321, which is not a factor of 3081.

If q = 3, then 14161q - 1 = 42482, which is not a factor of 3081.

If q = 4, then 14161q - 1 = 56643, which is not a factor of 3081.

If q = 5, then 14161q - 1 = 70804, which is a factor of 3081.

Therefore, we have:

p = 3081/(14161(5) - 1)

= 3

q = 5

r = 14161q - 1

= 70804

So the value of p is 3, the value of q is 5, and the value of r is 70804.

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A rectangular prism is a three-dimensional geometric shape that has six rectangular faces, with opposite faces being congruent and parallel. The shape is a rectangular prism.

The rectangular prism can be described by its length, width, and height, which are the measurements of the three dimensions that define its shape. The volume of a rectangular prism can be calculated by multiplying its length by its width by its height. The surface area of a rectangular prism can be calculated by adding up the areas of all of its six faces.

Rectangular prisms are commonly used in everyday life, such as in packaging, building construction, and furniture design.

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Answer:

C.

Step-by-step explanation:

3/8 × -7/6 × -2/5

a/b × c/d = ac/(bd)

-×- = +

+×+ = +

(a×b)×c = a×(b×c) = (a×c)×b ...

vamos começar com

(-7/6)(-2/5) = 7/6 × 2/5 = 2×7/(6×5) = 14/30

e agora

3/8 × 14/30 = 3×14/(8×30) = 42/240 = 7/40

Answer: 14, 16, 32 and 45

The number we would use to show the error is 0.0064.

A decimal number is a number that uses the base-10 numbering system, which means it uses 10 digits (0, 1, 2, 3, 4, 5, 6, 7, 8, and 9) to represent values. The decimal system is also known as the Hindu-Arabic numeral system, and it is the most widely used numbering system in the world.

Decimal numbers can include a decimal point, which separates the whole number part from the fractional part. For example, 3.14 is a decimal number with a whole number part of 3 and a fractional part of 0.14.

To represent the error of 0.64%, we can write it as a decimal number by dividing it by 100. Therefore, the number we would use to show the error is 0.0064.

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Consequently, the equation for the line passing through (-4, 4) and (3, 8) is y = (4/7)x + 32/7 in slope-intercept form.

Slope is a mathematical term that describes how steep a line is. The ratio of the vertical change (rise) to the horizontal change (run) between any two locations on a line is what is meant by this term. A line's slope can be either positive, negative, zero, or undefinable.

A slope that is positive indicates that as x rises, y rises as well. If the slope is negative, y declines as x increases. When the slope is zero, there is no change in the value of y as x rises. The line is vertical if the slope is undefinable.

The point-slope form of a linear equation can be used to determine the equation of a line that passes through two points:

y - y1 = m(x - x1)

If one of the points is (x1, y1) and m is the slope of the line.

First, given the two points (-4, 4) and (3, 8), we can get the slope of the line:

m = (y2 - y1) / (x2 - x1) =

(8 - 4) / (3 - (-4)) =

4 / 7

Choosing one of the points, we can next enter its coordinates and slope into the point-slope form:

y - y1 = m(x - x1)

y - 4 = (4/7)(x + 4)

By resolving for y, we can finally condense this equation into a slope-intercept form:

y = (4/7)x + 32/7

Image given below:

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