Write the equation of a line in slope-intercept form, y = mx + b, between the following
points: (2, 5) and (-4,-4).

Answers

Answer 1

Answer:

[tex]y = \frac{3}{2} x + 2[/tex]

Step-by-step explanation:

In the slope-intercept form y= mx +b, m is the slope and b is the y- intercept.

[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} } [/tex]

Using the formula above,

[tex]slope = \frac{5 - ( - 4)}{2 - ( - 4)} [/tex]

[tex]m = \frac{5 + 4}{2 + 4} [/tex]

[tex]m = \frac{9}{6} [/tex]

[tex]m = \frac{3}{2} [/tex]

Substitute the value of m into the equation:

[tex]y = \frac{3}{2} x + b[/tex]

To find the value of b, substitute a pair of coordinates into the equation.

When x= 2, y= 5,

[tex]5 = \frac{3}{2} (2) + b[/tex]

5= 3 +b

b= 5 -3

b= 2

Thus, the equation of the line is [tex]y = \frac{3}{2} x + 2[/tex].


Related Questions

ignore the computer lineslol

Answers

Answer:

2 acute and 1 right

Step-by-step explanation:

because in a right triangle theres two acute angle and 1 right

(b) Given that
6 7 -1
3 n 5
9 11 n

Where Q is a non-invertible matrix, determine the value of n?

Answers

Answer:n=-2 or n=4

Step-by-step explanation:

Q is not inversible if det(Q)=0

[tex]\left|\begin{array}{ccc}6&7&-1\\3&n&5\\9&11&n\end{array}\right| =0\\\\\\\\6(n^2-55)-3(7n+11)+9(35+n)=0\\\\n^2-2n-8=0\\\\\Delta=36=6^2\\\\n=\dfrac{2-6}{2} =-2\ or\ n=\dfrac{2+6}{2}=4\\[/tex]

If m 24 is 53°, what is the m26?

Answers

Answer:

m∠8 = 49°

Step-by-step explanation:

∠7 and ∠8 are same-side interior angles.

Remember, same-side interior angles are supplementary. This means that the sum of the angles is 180°.

Let's use the variable 'x' to represent the unknown measure of angle ∠8.

[tex]131 +x=180[/tex]

[tex]131-131=0[/tex] (cancels itself out)

[tex]180-131=49[/tex]

[tex]x=49[/tex]

Therefore, the measure of ∠8 is 49°.

PLSSS HELPPPPP ASAPPPP

Answers

The range is all the y values the function includes so it’s [-7,0]

distance between (-2,4) and (-38,-156)

Answers

Answer:

d = 164

Step-by-step explanation:

- To find the distance between two points, we have to plug the values into the distance formula:

d = √(x2 - x1)² + (y2 - y1)²

d = √(-156 - 4)² + [-38 - (-2)]

d = √(-160)² + (-36)²

d = √(25600) + (1296)

d = √26896

d = 164

I only need help with question 4, thank you​

Answers

Answer:

[tex]2 x ^{3} + 8x - 5[/tex]

Step-by-step explanation:

(h • g) (-5)

first we can isolate the first part

(x^2 +4) • (2x) = 2x^3 + 8x

then we just add the -5

2x^3 + 8x - 5

what is z x y+b if b x g= 533773

Answers

Step-by-step explanation:

mnhqdjnhagfy

Line CD passes through points C(1, 3) and D(4, -3). If the equation of the line is written in slope-intercept form, y =mx + b, what is the value of b?
0-5
0 -2
0 1
O 5

Answers

Answer:

5

Step-by-step explanation:

In the slope- intercept form of y= mx +b, m is the slope and b is the y- intercept.

Let's find the slope using the formula below:

[tex]\boxed{slope = \frac{y1 - y2}{x1 -x 2} }[/tex]

[tex]m = \frac{3 - ( - 3)}{1 - 4} [/tex]

[tex] m = \frac{3 + 3}{ - 3} [/tex]

[tex]m = \frac{6}{ - 3} [/tex]

m= -2

Substitute m= -2 into the equation:

y= -2x +b

To find the value of b, substitute a pair of coordinates into the equation:

When x= 1, y= 3,

3= -2(1) +b

3= -2 +b

b= 3 +2 (+2 on both sides)

b= 5

Thus, the 4th option is correct.

elaborate please

2- 1/2

Answers

Answer:

1 1/2

Step-by-step explanation:

2 - 1/2 = 1 1/2

2 - .5 = 1.5 as a decimal

is this what u wanted

whitch nuber is the outliner in this data set? 9,12,32,8,11

Answers

Answer:

I think the answer is 32 I hope this helps!!

32 will be the outliner in this data set !

PLZ EXPLAIN AND I'LL GIVE BRAINLY!!!!


Find the 7th term in the
sequence
1, -3, 9, -27,..


Hint: Write a formula to help you.

1st term x Common Ratio^(desired term – 1)
Remember to use the correct Order of Operations!

Answers

Hello there!

Given the sequence:

[tex] \displaystyle \large{ 1, - 3,9, - 27,...}[/tex]

The question reveals it to be geometric sequence since it has common ratio.

Geometric Sequence / Ratio Formula

[tex] \displaystyle \large{r = \frac{a_{n + 1}}{a_n} }[/tex]

Define 'r' as common ratio.

First, let's check the common ratio by using the formula above.

Ratio Check

[tex] \displaystyle \large{r = \frac{ - 3}{1} \longrightarrow - 3 } \\ \displaystyle \large{r = \frac{ 9}{ - 3} \longrightarrow - 3 } \\ \displaystyle \large{r = \frac{ - 27}{9} \longrightarrow - 3 }[/tex]

Therefore, the common ratio or r-value is -3.

To find the 7th term of sequence, you can by using the General Geometric Terms.

General Term of Geometric

[tex] \displaystyle \large{a_n = a_1 {r}^{n - 1} }[/tex]

a1 is defined as the first term of sequence.

r is common ratio.

n is the term.

Since we want to find 7th term:

a1 = 1r = -3n = 7

[tex] \displaystyle \large{a_7 =1{( - 3)}^{7 - 1} } \\ \displaystyle \large{a_7 =1{( - 3)}^{6} } \\ \displaystyle \large{a_7 =729 }[/tex]

Therefore, the 7th term of this sequence is 729.

Let me know if you have any questions!

Topic: Sequence and Series / Geometric Sequence

Find the slope-intercept form of the equation of each of the following lines.
Passes through (6, 4) and has slope =1/2

Answers

Answer:

[tex]y=\displaystyle\frac{1}{2}x+1[/tex]

Step-by-step explanation:

Hi there!

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept

We're given that the slope is [tex]\displaystyle\frac{1}{2}[/tex]. Plug this into [tex]y=mx+b[/tex]:

[tex]y=\displaystyle\frac{1}{2}x+b[/tex]

Now, to solve for the y-intercept, plug in the point (6,4) and solve for b:

[tex]4=\displaystyle\frac{1}{2}(6)+b\\\\4=3+b\\b=1[/tex]

Therefore, the y-intercept of the line is 1. Plug this back into [tex]y=\displaystyle\frac{1}{2}x+b[/tex]:

[tex]y=\displaystyle\frac{1}{2}x+1[/tex]

I hope this helps!

-4(-2x-9) I really need help it's simplify​

Answers

Answer:

2x+9

Step-by-step explanation:

-4(-2x-9)

8x+36

2x+9

Hope u got it

If you have any question just ask me

If you think this the best answer please mark me as brainliest

Answer:

2x + 9

Step-by-step explanation:

-4(-2x-9)

^ first start with distributive property

8x + 36

^ and simplify

2x + 9

and you've got your expression!

let me know if you're confused on anything else

PLZ HELP I REWARD BRAINLIEST!!!!! NEED HELP ASAP!!!!!!!!!!!!!!!!
also please dont write a silly answer i worked hard for these points and need help please

Answers

Answer:

17 A...... x=56

17 B...... x=4

Step-by-step explanation:

lets start with 124

f-a is 180 degrees

we know 124 so 180-124

56 degrees under the 124

c-e is also 180 degrees

we know 6x

lets say the other degree is y

so 180=6x+y

but the y is inside the triangele, which is what we need

so the angles added up inside the triangle is

56+2x+y=180 degrees because thats what the angle measurements equal for a triangle

so 56+2x+y=180

subtract 56 from both sides

2x+y=124

divide both sides by 2

x+y=62

6x+y=180

x+y=30

124+x=180

x=56

x+y=62

56+y=62

y=6

x(56)+y(6)=62

2. problem

triangle angles must equal 180 degrees

f angle... lets say is y

so

4x+65+y=180

subtract 65 from both sides

4x+y=115

get x by itself

so -y from both sides

Answer:

...................

Step-by-step explanation:

x=14°

x=23°

The high temperature on a given winter day is °5 degrees f. What is the temperature in °degrees c?

Answers

Answer:

-15 degrees Celsius

Step-by-step explanation:

(5 - 32)*(5/9)= -15 Farenheit

find the gradient of the line 3y=2x/3+4​

Answers

Answer:

slope is also known as gradient

here gradient =2/9

228/16 as a mixed number

Answers

Answer: 228/16 as a mixed numer is 14 1/4

Step-by-step explanation:

Answer:

[tex]14\frac{1}{4}[/tex]

Step-by-step explanation:

[tex]\frac{228}{16} = \frac{54}{4}[/tex]

f(x)=3x+2 what is f(-5) ?

Answers

Answer:

hope it helps you.......

Help me plzzzz

(x+1)^2 -3(x+2)

If you could give an explanation that would be great!

Answers

Answer:

x^2-x-5

Step-by-step explanation:

1. expand the square

(+1)(+1)−3(+2)

2. distribute

(+1)+1(+1)−3(+2)

3. distribute

^2++1(+1)−3(+2)

4. multiply by 1

^2+++1−3(+2)

5. combine like terms

^2+2+1−3(+2)

6. distribute

^2+2+1−3−6

7. subtract the numbers

^2+2−5−3

8. combine like terms

^2−−5

9. gg you are done

^2−−5

What are three collinear points on line l?

points A, B, and F
points A, F, and G
points B, C, and D
points B, F, and G

Answers

The answer is points A, F, and G!

All the three collinear points on line l are,

⇒ points A, F, and G

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

To find All the three collinear points on line l.

Hence, By figure;

All the three collinear points on line l are,

⇒ points A, F, and G

Thus, All the three collinear points on line l are,

⇒ points A, F, and G

Learn more about the coordinate visit:

https://brainly.com/question/24394007

#SPJ7

The answer for (-1-1)2+4. (0-1)2+4

Answers

Answer:-8

Use the given functions to set up and simplify (0−1)⋅2+4

.(−1−1)⋅2+4=0

(0−1)⋅2+4=2

Step-by-step explanation

Answer:

-8

Step-by-step explanation:

(-1-1)2+4(0-1)2+4

(-2)2+4(-1)2+4

-4+4(-2)+4

4(-2)

-8

Hope that helps

solve: 8+2x-12=58


i need help please asap.

Answers

Answer: x=31

Step-by-step explanation:

-4 + 2x=58

2x-4=58

2x-4+4=58+4

2x=62

2x/2=62/2

x=31

Answer:

x = 31

Step-by-step explanation:

- Combine all like terms;

8+2x-12=58

2x -4 = 58

- Add 4 to both sides.

2x = 62

- Divide both sides by 2.

x = 31

The product of a number and ten is equal to ninety

Answers

Step-by-step explanation:

[tex]take \: the \: number \: = x \\ then \: x \times 10 = 90 \\ x = \frac{90}{10 } = 9 \\ thank \: you[/tex]

Hiiiiii I need help with this n could you show me how to do it thanks:))))

Answers

This is really messy, sorry.

Answer: x=-3
Explanation: In the photo! :)

2. Simplify these expressions A) 2 the square root of 2 [3/the square root of 2 + the square root of 2] plzzz help anyone​

Answers

Answer:

3

Step-by-step explanation:

[tex]2\sqrt{2} (3/(\sqrt{2} +\sqrt{2} ))\\(2\sqrt{2} *3)/(2\sqrt{2} )\\3/1\\3[/tex]

for future problems use symbolab or wolframalpha

they give answers more accurately and quicker

divide -15<-6 by 3 on both sides

Answers

Answer:

[tex] - 15 < - 6....(1) \div 3 \\ - 5 < - 2 \\ thank \: you[/tex]

Answer:

-5 < -2

Step-by-step explanation:

-15 < -6

-15/3 < -6/3

-5 < -2

Find the value of X and RS if S is between R and T

Answers

Answer:

x = 10; RS = 60

Step-by-step explanation:

RS + ST = RT

6x + 12 = 72

6x (+ 12 - 12) = 72 - 12

6x = 60

6x/6 = 60/6

x = 10

RS = 6x

RS = 6(10)

RS = 60

In the expression "4f + s", the number "4" is

Answers

Answer:

the coeficient

Step-by-step explanation:

Hi there!  

»»————- ★ ————-««

I believe your answer is:

A coefficient.

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

The coefficient is a number that is used to be multiplied by a variable in a term.In the term 4f, 4 is being multiplied by 'f'. It is the coefficient of the term.

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

19. Hairs found at a crime scene are consistent with those of a suspect.
Based on this evidence, an investigator concludes that the suspect was at
the crime scene. Is this an example of inductive or deductive reasoning?
Explain.

Answers

First off this is an English question.
Second, the answer is: deductive reasoning.

Explanation: Deductive reasoning is thinking about and organizing facts and ideas in a logical way.

2.5t + 350 = 3t + 225? What is the soulution ?

Answers

Answer:

t = 41.6 (the 6 is repeating)

Step-by-step explanation:

2.5t + 350 = 3t + 225

Subtract 2.5t from both sides to get:

350 = 3t + 225

Now subtract 225 from both sides to get:

125 = 3t

Divide both sides by three.

t = 41.6 (the 6 is repeating)

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