What is an equation of the line that passes through the points (4,-1) and (8,5)?

Answers

Answer 1

Answer:

y=3/2x-7

Step-by-step explanation:

the equation of the line for slope-intercept form is y=mx+b, where  m is the slope and b is the y intercept.

we are given two points: (4,-1) and (8,5)

the equation for slope is (y2-y1)/(x2-x1)

label the points:

x1=4

y1=-1

x2=8

y2=5

now substitute into the equation:

m=(5--1)/(8-4)

m=6/4

m=3/2

the slope of the line is 3/2

here is our equation so far:

y=3/2x+b

we need to find b

since the equation will pass through the points, we can substitute either one into the equation to find b

let's use (4,-1) as an example

substitute into the equation

-1=3/2(4)+b

-1=6+b

-7=b

the y intercept is -7

so the equation is y=3/2x-7

hope this helps!


Related Questions

30pts! im currently in the middle of taking the test :(
Rationalize the denominator of square root of negative 16 over open parentheses 1 plus i close parentheses plus open parentheses 6 plus 3 i . (6 points)

√-16

________

(1+i)+(6+3i)

Answers

Answer:

16 /65  +  28 i /65

Step-by-step explanation:

Answer:

16+28i over 65

Step-by-step explanation:

toot the test

Which pair of triangles below MUST be similar?

Answers

Answer:

i think is C

Step-by-step explanation:

Answer:

Its C

Step-by-step explanation:

Brain

1) Expand and simplify the following:
a)3(x squared plus 3x cubed - 2)​

Answers

Answer:

3x³ + x² - 2

Step-by-step explanation:

a) 3(x squared plus 3x cubed - 2)​

x squared = x²

3x cubed = 3x³

3(x squared plus 3x cubed - 2)​

= 3(x² + 3x³ - 2)

= 3x² + 9x³ - 6

Rearrange according to power

= 9x³ + 3x² - 6

When the expression is divided by 3, it is equivalent to

3x³ + x² - 2

Taya is on the track team. For practice, she runs 2.5 miles each day. At the
end of 14 days, how many total miles will Taya run?

Answers

Answer:

35 miles

Step-by-step explanation:

Answer:

35 miles

Step-by-step explanation:

2.5 x 14

Evaluate (3.2) to the second power.

Answers

Answer: 36

Step-by-step explanation: Did the quiz and got 100 :)

Can someone pls factor the trinomial
I will mark you as brainliest

Answers

I just took a picture of the answer.

I hope it was helpful!

You feed your pet 1/4 cup of food each morning.
You do this for 5 days. How much total food have
you fed your pet after 5 days?

Answers

Answer:

1 1/4 cups

Step-by-step explanation:

you feed your dog 1/4 cups of food each day. You do this for five days. So we can set up an equation 5*1/4 = 1 1/4 cups.

1/5 = .25
.25*5= 1.25
1.25; 1 1/4

1 cup and 1/4ths of food

5. The spinner is spun once, and the coin is flipped once. Which answer
choice has all the possible outcomes? Spinner (1, 2, 3, 4); Coin (H, T)*
A 1H, 1T, 2T, 3H, 3H, 4H, 4T
B 1H, 1T, 2H, 2T, 3H, 3T, 4H, 4T
C 1H, 1T, 2H, 2T, 4H, 4T, 5H,
D 1, 2, 3, 4, H, T

Answers

The answer to this question is B, do 4*2=8, only one answer has 8 outcomes

Answer:

The answer is B

Step-by-step explanation:

Hope it helps

Please give me the brainliest please!!! :[ I've never gotten one before.

Anyone know the right answer?!

Answers

Answer:

420000 here is the answer

Step-by-step explanation:

28000 multipli 15

y = 4x + 8; y = –x + 3

Answers

Answer:

y= -12

Step-by-step explanation:

4x+8 = -x+3 -> Find x by  using all information

5x=-5  -> Simplify

x=-1   -> Solve

y=-12  -> Plug in to find y

All the seats in the theater are divided into 6 groups. There are 35 seats in each group. Using the variable s, write and solve a division equation to find how many seats there are in the theater.

HELP!

Answers

The answers should be 210

PLEASE HELP QUICKLY!!

Answers

Answer:

79

Step-by-step explanation:

Sense all the lines are straight, and will never cross, then adjacent angles must always add up to 180 degrees. 3 and 4 are adjacent. Thus they must add up to 180. So set up as 101 + x = 180. x=180 - 101, and find that x = 79. Plug x back into check. 101 + 79 = 180. and 180= 180. The answer is 79 degrees.

m4 = 79 because 180 - 101 = 79

find the value of x and please show how

Answers

Answer:

x = 12°

Step-by-step explanation:

The sum of angles in a triangle is 180°.

So,

39° + 53° + 4° + 7x = 180°

Add all the numbers on the left up.

96° + 7x = 180°

Subtract 96 from both sides.

7x = 84°

x = 12°

Hope this helps!

Answer: x= 12

Step-by-step explanation:

Triangle angle sum theorem says that the interior angles of a triangle sum to 180 degrees. Set the sum of all of these angles equal to 180 to solve. 39+53+ (4+7x) = 180. Combine like terms. 96 +7x = 180. Subtract 96 from both sides. 7x = 84. Divide both sides by 7. X = 12

PLEASE HELP! IM ALMOST DONE WITH THIS ASSIGNMENT PLSSS HELPP ILL GIVE BRAINLIEST SHOW UR WORK


question: solve the solution using substitution.

Answers

Answer:

x = -3

y = -8

Step-by-step explanation:

2y = x - 13

3x = y - 1;  let y = 3x + 1

substitute to solve for 'x':

2(3x + 1) = x - 13

6x + 2 = x - 13

5x + 2 = -13

5x = -15

x = -3

solve for 'y':

3(-3) = y - 1

-9 = y - 1

-8 = y

Answer:

(-3,-8)

Step-by-step explanation:

Get one of the variables by themself.

3x = y-1

y = 3x+1

Plug that equation into the other one

2(3x+1) = x-13

Distribute the 2 to 3x+1

6x+2 = x-13

Combine like terms

6x+2 = x-13

-x       -x

5x+2 = x-13

    -2        -2

5x = -15

Divide by 5 on both sides

5x = -15

÷5   ÷5

x = -3

Find y

3(-3) = y-1

-9 = y-1

+1       +1

y = -8

14.6 is the geometric mean between a and 9. Find a to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

5 divided by what gets you 0.60

Answers

Answer:

Step-by-step explanation:

12

12, pls mark as brainliest!!!!

Becca is painting a birdhouse (rectangular prism) that has a height of 13cm, a width of 5 cm, and a length of 8cm. How much paint will she need if she only uses 1 coat? 26 sq. cm 0418 sq. cm 0 208 sq. cm​

Answers

Answer:coo

Step-by-step explanation:Cooke.

The amount of paint which will Becca need to paint the birdhouse in 1 coat is 418 cm².

What is surface area?

Surface area of any solid or the 3 dimensional body is the area of each faces by which the solid body is enclosed.

The surface area of rectangular prism can be given as,

[tex]SA=2(wl+hl+hw)[/tex]

Here, (w) is the width, (h) is the height and (l) is the length of the prism.

Becca is painting a birdhouse. The shape of the birdhouse is similar to rectangular prism with dimensions as, height of 13cm, a width of 5 cm, and a length of 8cm.

Now Becca wants to paint this house using 1 coat. As this paint has to be cover each surface of the house. Thus the amount of total paint should be equal to the surface area of the house.

Here, the dimensions of house is as, height of 13cm, a width of 5 cm, and a length of 8cm. Therefore the surface area of it is,

[tex]SA=2(5\times8+13\times8+13\times5)\\SA=418\rm cm^2[/tex]

Hence, the amount of paint which will Becca need to paint the birdhouse in 1 coat is 418 cm².

Learn more about the surface area here:

https://brainly.com/question/20771646

8 times a certain number is added to 5 times a second number to give 184.the first number minus the second number is -3.find these number .​

Answers

Answer:

The numbers are 13 , 16

Step-by-step explanation:

First number be x

Second number be y

x - y = -3 --------------------(I)

x = -3 +y

8x + 5y = 184  ---------------(II)

substitute x = -3 + y in equation(I)

8*(-3 + y) + 5y = 184

-24 + 8y + 5y = 184

-24 + 13y = 184

         13y = 184 + 24

         13y = 208

            y = 208/13

y = 16

Plugin y = 16 in (I)

x - 16 = -3

      x = -3 +16

    x = 13

Mary bought more than 72 pencils to distribute to children at an orphanage. She packs these pencils in gift boxes.

If she packs 4 pencils each into x gift boxes, the inequality that represents this situation is
.

The simplified form of the inequality is

Answers

Answer:

4x≥=72

Step-by-step explanation:

1. Particularly, we have:

Given:

X: number of gift boxes

2. We then have to write the inequation that models the problem:

"Mary bought more than 72 pencils"

"She packs 4 pencils each into x gift boxes"

Finally we have:

4x≥=72, for the inequality that represent this situation.

When Simplfying (simplified form):

= x≥72/4

= x≥18

Answer:

 

4x > 72  

x > 18  

Step-by-step explanation:

My math teacher didn't explain how to do this stuff and I've been struggling to understand what it is for like the past half hour. Please help. (sorry its a PDF there was no other easy way)

Answers

Answer:

I'm really not sure but my math teacher might have videos on how to do it its on you tube "Rampage videos"

Step-by-step explanation:

Mrs. Wu uses a 25% off coupon to buy 1 adult ticket and 1 child ticket to a movie. She pays a total amount of $9.00. A child ticket without the coupon costs $4.00. Write an equation that can be used to find the cost of an adult ticket, x, without the coupon.

Answers

(x/75x100)-4
12-4=8 (if the final answer was needed)

Not the answer:

I have no idea, also when I tried the first answer... it said it was wrong...

Program:

the program was hmh

Nathan is saving up to buy a new phone. He already has $90 and can save an additional $10 per week using money from his after school job. How much total money would Nathan have after 4 weeks of saving? Also, write an expression that represents the amount of money Nathan would have saved in w weeks.

Answers

Answer:

$130

Step-by-step explanation:

If Nathan already has $90 then you would add the amount of money collected after the 4 weeks. In each week he makes $10.

The equation would be $90+($10x4)= $X

unit 4 lesson 15 exit ticket (please help)​

Answers

Answer:

Step-by-step explanation:

Lin's story.

y = Lin's height compared to her cousin's = x+6

x+y = sum of their heights = 100

Please help it's due in 1 hr and I don't understand;-;

Answers

Answer:

1. x=6 y=7

hope that helps!

In Game 2, your score started at 2 and doubled every time. Two expressions below represent your score after 12 hits.

Answers

Answer:

B and D on edg

Step-by-step explanation:

just did it

a rhino can run at speeds at about 28 miles per hour, what is that number in feet per second, to the nearest whole number?

Answers

Answer:

41.066666666 feet per second

Step-by-step explanation:

Answer:

41 feet per second

Step-by-step explanation:

2. Tanya is 15 years older than Sarah. In 3 years, the sum of their ages will be 41.
a) Write an expression for Tanya's age in terms of Sarah's age. Use S to represent Sarah's
current age
b) Write an expression for how old Tanya will be in 3 years, using the expression you wrote
for her age
c) Write an expression for how old Sarah will be in 3 years, using S to represent Sarah's
current age.
d) Write an equation that shows the sum of their future ages will be 42
e) Solve that equation to find Sarah's current age
f) What is Tanya's current age?

Answers

The correct answer is c
Hope this help.

oh god does anyone understand this? I need help it’s for a test and I wanna do good!!

Answers

Answer:

A

Step-by-step explanation:

Its a right angle, so you have to use trigonometry.

To find x , you use sin60° = opposite/hypotenuse

opposite = x and hypotenuse = 5 . So,

sin60°= x/ 5

5sin60° = x

put the value into your calculator you ' ll get:

[tex] x = \frac{5 \sqrt{3} }{2} [/tex]

To find y, cos60°= adjacent/hypotenuse

adjacent= y and hypotenuse = 5. So,

cos60°= y/5

5cos60°=y

[tex]y = \frac{5}{2} [/tex]

Hope I was able to help. Good luck!<3

What is the image point of (1, 4) after a translation left 5 units and down 3 units?

Answers

Answer:

(-4,1)

Step-by-step explanation:

for x you do:

1 - 5 = -4

for y you do:

4 - 3 = 1

so it is (-4,1)

what is divison
anyone know?
tel me

Answers

Answer:

Division Means Divide

Step-by-step explanation:

10÷5

5×2 = 10

Other Questions
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