Use the given conditions to write an equation for the line in point-slope form and slope-intercept form.
Passing through (-3, -6) and (2,9)
What is the equation of the line in point-slope form?
(Simplify your answer. Use integers or fractions for any numbers in the equation.)
What is the equation of the line in slope-intercept form?

Answers

Answer 1

Answer:

slope-inercept form: y = 3x + 3        point-slope form: y - 9 = 3(x - 2)

Step-by-step explanation:

slope-intercept form:

y2 - y1 / x2 - x1        

9 - (-6)/ 2 - (-3)      

= 3

y = 3x + b

9 = 3(2) + b

9 = 6 + b

3 = b

y = 3x + 3

point-slope form:

y - 9 = 3(x - 2)


Related Questions

what is lockdown
what is lockdown

Answers

Answer:

lockdown is a restriction policy for people or community to stay where they are, usually due to specific risks to themselves or to others if they can move and interact freely. 

lockdown is when a country or a state closes and prevent entry or exit from one state or country to another in order to avoid the spread of for example a disease.

what is 1/4 of the H.C.F of 24,16,48​

Answers

Answer:

2

Step-by-step explanation:

What is 1/4 of the H.C.F of 24,16,48​

Your answer

GIven data

24,16,48​

let us find the HCF of the above numbers

24=2*2*2*3

16= 2*2*2*2

48=2*2*2*2*3

Hence the HCF is 2*2*2= 8

Let us find 1/4 of the HCF

=1/4*8= 2

Hence the final answer is 2

i need help in this question that is in the photo

Answers

The answer is A, 1. In the statement x^2 >x, if we try 4, 5 and 8 for x, we get 16, 25 and 64 for x^2. The statement is true. But if we try x = 1, when we square it we still have 1. Therefore for x=1, x^2>x is false.

What is the word form of 1.604

Answers

Answer:

one point 4 inchs

Step-by-step explanation: yessuh

Answer:

one and six hundred four thousandths

Which of the following is an even function?

Answers

Answer:

thats right

Step-by-step explanation:

odd functions are ones you flip 180 degrees and get same thing but basically everything else (unless of course it has no symmetry such as sqrt x) should be even (even can also be thought of as bilateral symmetry)

How many years will it take $2,000 to grow to $3,300 if it is invested at 4.75% compounded​ continuously?

Answers

Answer:

10.54263764

Step-by-step explanation:

[tex]3300=2000e^{.0475t}\\\\1.65=e^{.0475t}\\\ln(1.65)=.0475t\\.500775288=.0475t\\t=10.54263764[/tex]

Answer:

It will take about 10.5 years for the investment to reach $3,300.

Step-by-step explanation:

Continuous compound is given by:

[tex]\displaystyle A=Pe^{rt}[/tex]

Where P is the principal, e is Euler's number, r is the rate, and t is the time (in this case in years).

Since our principal is $2,000 at a rate of 4.75% or 0.0475, our equation is:

[tex]\displaystyle A=2000e^{0.0475t}[/tex]

We want to find the number of years it will take for our investment to reach $3,300. So, substitute 3300 for A and solve for t:

[tex]3300=2000e^{0.0475t}[/tex]

Divide both sides by 2000:

[tex]\displaystyle e^{0.0475t}=\frac{33}{20}[/tex]

We can take the natural log of both sides:

[tex]\displaystyle 0.0475t=\ln\left(\frac{33}{20}\right)[/tex]

Therefore:

[tex]\displaystyle t=\frac{1}{0.0475}\ln\left(\frac{33}{20}\right)\approx 10.54\text{ years}[/tex]

It will take about 10.5 years for the investment to reach $3,300.

Find the slope between the points (-3,1) and (-17,2)
(show your work pls) serious answers only

Answers

Answer:

-1/14

Step-by-step explanation:

The given points are

(-3,1) (-17,2)

The slope will be the difference of ordinate divided by difference of absicca .

> m = 2-1/-17+3

> m =1/-14

> m = -1/14

Which expression is equivalent to −10x−10+2x+9?

Answers

Answer:

-8x - 1

General Formulas and Concepts:

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

-10x - 10 + 2x + 9

Step 2: Simplify

Combine like terms (x):                                                                                        -8x - 10 + 9Combine like term:                                                                                              -8x - 1

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\textsf{-10x - 10 + 2x + 9}[/tex]

[tex]\huge\textsf{COMBINE the LIKE TERMS}[/tex]

[tex]\large\textsf{-10x + 2x - 10 + 9}[/tex]

[tex]\large\textsf{-10x + 2x}\\\\\large\textsf{ = \bf -8x}[/tex]

[tex]\large\textsf{-10 + 9}\\\\\large\textsf{ = \bf -1}[/tex]

[tex]\boxed{= \large\textsf{\bf -8x - 1}}\large\checkmark[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: \bf -8x - 1 }}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Cosella is conducting an experiment where she assesses how quickly teenagers can run a 100-meter race after consuming specific amounts of caffeine. She divides her sample up into three groups. Group 1 receives a glass of water with no caffeine added. Group 2 receives a glass of water with an amount of caffeine equivalent to that in one cup of coffee. Group 3 receives a glass of water with an amount of caffeine equivalent to that in two cups of coffee. Each participant is then timed as they run the course. In this study, the dependent variable is

Answers

Answer:

The dependent variable is the time taken to run 100 metres

Step-by-step explanation:

A dependent variable is simply one that is being measured or sometimes tested in an experiment.

Now, in this case, what is being determined is the time each group of participants will take to run a 100-meter race.

Thus, the dependent variable is the time each group of participants will take to run a 100-meter race.

Solve for X.

-8(1 - 4x) = -104

Please show work

Answers

Answer:

-3

Step-by-step explanation:

-8(1-4x)=-104

1-4x=-104/-8

1-4x=13

4x=1-13

4x=-12

x=-12/4

x=-3

Can someone help with this problem

Answers

35+25=60
y=60


If you add the opposite side values of the triangle (not the one touching the y), you get the value of y). 35+25=y
This works because y+x= 180 and the three angles of a triangle add to 180.

Step-by-step explanation:

x+35+25=180

x+60 =180

x = 120.

y+x =18

help asap plsss ----------------------

Answers

Answer:

g(x) = |x-7|+4

Step-by-step explanation:

If we imagine trying to find the vertex of f(x) or the lowest part, we can always input x and y into each equation and see if they equal on either side.

The vertex is at points (7,4)

4=|7-7|+4 : 4=4.

A room can just store either 10 cases of soya beans drink and 8 cases of fruit juice or 4 cases of soybeans drink and 11 cases of fruit juice. How many cases of soya bean drink have the same volume as one cases of fruit juice.

Answers

Answer:

2 cases of soya bean milk will have the same volume as 1 case of fruit juice.

Step-by-step explanation:

Let the case of soya beans drink be x and let the case of fruit juice be y

We are told that the room can store either 10 cases of soya beans drink and 8 cases of fruit juice or 4 cases of soybeans drink and 11 cases of fruit juice.

This means that;

10x + 8y = 4x + 11y

Rearranging, we have;

10x - 4x = 11y - 8y

6x = 3y

Thus;

y = 6x/3

y = 2x

This means that 2 cases of soya bean milk will have the same volume as 1 case of fruit juice.

A quadratic equation is shown below:

6x2 + 17x + 9 = 0

Part A: Describe the solution(s) to the equation by just determining the radicand. Show your work. (5 points)

Part B: Solve 4x2 − 4x + 1 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used. (5 points)

(10 points)

Answers

Answer:

x = -0.70,-2.212.

Step-by-step explanation:

(a) The quadratic equation is :

[tex]6x^2 + 17x + 9 = 0[/tex]

Here,

a = 6, b = 17, c = 9

Put all the values in the quadratic formula.

[tex]x=\dfrac{-17+\sqrt{17^2-4\times 6\times 9}}{2(6)},\dfrac{-17-\sqrt{17^2-4\times 6\times 9}}{2(6)}\\\\x=-0.70,-2.12[/tex]

So, the solution of the given equation are -0.70,-2.212.

(b) Equation is : [tex]4x^2 -4x + 1 = 0[/tex].

Here, a = 4, b = -4 and c = 1

So,

[tex]x=\dfrac{-(-4)+\sqrt{(-4)^2-4\times 4\times 1}}{2(4)},\dfrac{-(-4)-\sqrt{(-4)^2-4\times 4\times 1}}{2(4)}\\\\x=0.5,0.5[/tex]

Hence, this is the required solution.

15 POINTS AND BRAINLIEST!!!

Answers

Answer:

option C

Step-by-step explanation:

2, 4, 6

i don't know whether it is correct or not...

What is the value of the expression shown below?
(3/6) 2 + 7 x 4 -5
A 6 1/4
B 6 1/2
C 23 1/4
D 23 1/2

Answers

Answer:

24

Step-by-step explanation:

(3/6) 2 + 7 × 4 - 5

0.5 × 2 + 7 × 4 - 5

1 + 7 × 4 - 5

1 + 28 - 5

29 - 5

24

n a certain exam of grade ten, 75% students got high score in mathematics, 65%students got high score in English. If 6% of them did not get high score in both mathematics and English, then calculate: i. the percent of students who got high score in both the subjects. ii. the total number of students who got high score either in mathematics or in English if 300 students had attended the exam.

Answers

Answer:

thank you for the points

Step-by-step explanation:

Prove That

cot 2A + tan 2A cot 2A-tan 2A = sec 4A​

Answers

Answer:

*Refer the graph

Step-by-step explanation:

Blue : y= cot 2A + tan 2A cot 2A-tan 2A

domain a ≠ kπ/4

Yellow : y= sec 4A

domain a ≠ π/8 + kπ/4

vertical intercept (0,1)

a_(n)=7n-1 9 ( what is the fourth term)

PLEASE HELP ASAP.

Answers

Answer:

Fourth term of given arithmetic progression a(4) = 30

Step-by-step explanation:

Given incomplete information:

a(n) = 7n - 1 9

Assume Correct information:

a(n) = 7(n - 1) + 9

Find:

Fourth term of given arithmetic progression

Computation:

Fourth term of given arithmetic progression = a(4)

So,

Number of term (n) = 4

So,

a(n) = 7(n - 1) + 9

a(4) = 7(4 - 1) + 9

a(4) = 7(3) + 9

a(4) = 21 + 9

a(4) = 30

Fourth term of given arithmetic progression a(4) = 30

Anita and beth have the same number of trading cards. Anita gives 18 of her cards to beth. As a result, beth has twice as many card as anita does. How many cards did anita have before she gave some away.

Answers

Answer:

18

Step-by-step explanation:

if Anita and Beth had the same amount of trading cards this means they each had 18 cards so when Anita gave Beth her cards the number of cards Beth had have been diul ed meaning Beth now has 36 cards while Anita has non


[tex]solve : - \\ \\ (10 {}^{2} - 6 {}^{2} ) = {?}[/tex]

Answers

[tex]\longrightarrow{\blue{64}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] = (10 {}^{2} - 6 {}^{2} ) [/tex]

[tex] = [(10 \times 10) - (6 \times 6)][/tex]

[tex] = (10 0- 36)[/tex]

[tex] = 64[/tex]

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}[/tex]

The answer will be 64

He
Find the volume of this cylinder. Use 3 for pi
V = ?

Answers

Answer:

30in^3

Step-by-step explanation:

3x1^2x10=

3x1x10=

30

30in^3

Answer:

30 in^3

Step-by-step explanation:

The formula given for the volume of a cone is:

V = πr^2h

The formula needs the radius, but the picture just shows a diameter.

We know that the radius is always twice the diameter so:

Diameter: 2 in

2 ÷ 2 = 1

So the radius is 1 inch

Use the formula to determine the volume:

πr^2h

= 3(1^2)(10)

= 3(1)(10)

= (3)(10)

= 30

Hope this helps

Please help me with this one I seriously suck at math

Answers

Answer:

194

Step-by-step explanation:

Rectangles :

7 x 10 = 70

6 x 10 = 60

4 x 10 = 40

Triangles

[tex]\frac{6x4}{2}[/tex] = 12   (two of them = 24)

70 + 60 + 40 + 24 = 194

instructions: state what additional information is required in order to know that the triangle in the image below are congruent for the reason given.

Given: AAS

Answers

Answer:

QP ≈ HG

Common side between those angles are QP and HG

so, they should be congruent to prove AAS

Answered by GAUTHMATH

Please help me with this... will give brainliest

Answers

Answer:

94 cm^2

Hope it helps!

4x⁴+3x²y²+9y⁴
solve by step by step​

Answers

Answer:

4x^4+3x^2y^2+9y^2

(2x^2)^2 + 2×2x^2×3y^2 + (3y^2)^2 - 9

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

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

What is the difference between calculating the area and calculating the perimeter of a rectangle?

Answers

Answer:

For perimeter you add up the side lengths to get the perimeter but for area you multiply the length times width (L x W )to get area.

Step-by-step explanation:

what is the measure of 6 ?

Answers

Answer:

54°

Step-by-step explanation:

Here :-

13x + 9 + 5x + 9 = 1801 8x + 18= 180 18x = 162x = 9

Measure of 6 :-

6 = 5x + 9 6 = 5*9 +9 6 = 45 + 9 6 = 54°

Answer:

m<6 = m<2 = 54º

Step-by-step explanation:

13x + 9 + 5x + 9 = 180

18x + 18 = 180

18x = 180 - 18

18x = 162

x = 162 / 18

x = 9

13x + 9

13(9) + 9

126

180 - 126

54

m<6 = m<2 = 54º

What is best buy £3.99 5kg or 3.2kg £2. 60?​

Answers

Answer:

I would say 5 kg because you get more kg with a little bit more money added

A oil company has a large tank that holds the oil before it is distributed. If it costs $3.20 per cubic meter for oil, how much money would it cost to fill the entire tank?

A. $65,280
B. $68,000
C. $5,440
D. $67,200

Answers

Answer:

Option A, $65,280

Step-by-step explanation:

The volume of the tank is,

12×20×15+40×(50-15)×12

= 3600+16800

=20400 cubic meters

For each cubic meter, it costs $3.20, so for 20400 cubic meters it'll cost,

20400×$3.20

= $65,280

Answered by GAUTHMATH

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