A line passes through (1, –5) and (–3, 7). a. Write an equation for the line in point-slope form. b. Rewrite the equation in slope-intercept form.

Answers

Answer 1

Answer:

Point-slope form: y + 5 = 13/-4 (x-1)

Slope-intercept form:

Step-by-step explanation:

Ok, so first to find the equation in point-slope form, you need to find the slope. So, the slope would be 7- (-5)/-3-1 , which is 13/-4. That is your slope, or m. Now, for point-slope form, you have the equation y - y1 = 13/-4 (x-x1). Now, you take one of your points, say (1, -5), and you put it into the equation. So your point-slope form equation would be y - (-5) = 13/-4 (x - 1). This would simplify to y + 5 = 13/-4(x - 1).

Now for slope-intercept form, you have m, the slope, which is 13/-4. Substituting that into the equation, you have y = 13/-4x + b. To find b, you substitute one of your coordinates into the equation. For example, (1, -5). Then you have -5 = (13/-4 * 1) +b. Simplify this, and you have b = -5+ 13/-4, which is -20/4 + 13/-4, which is -20/4 - 13/4 = -33/4. So your final equation is y = 13/-4x - 33/4.

Hope that helped.


Related Questions

13x5=64 blank ÷ blank= 13​

Answers

Answer:

65 divided by 5 equals 13.

Step-by-step explanation:

Answer:

65 divided by 5= 13

Step-by-step explanation:

(6th grade math)
yasiara has 3/4 of cake. she wants to divide it up into 1/12 size pieces. how many pieces will she have?

Answers

Answer:

9

Step-by-step explanation:

Multiply the denominator of 3/4 to get the same denominator as 12 which would be 3 so that makes it 9/12

I’m pretty sure she will have 9 slices

The mark obtained by Belij in an exam is 28 out of 40, express his obtained marks in percentage​

Answers

Marks

= 28/40

= 28/40 × 2.5/2.5

= 70/100

= 70%

Answer:

70percent

Step-by-step explanation:

28/40 x 100

0.7 x 100

=70 percent

will had 23 balls Sarah had 7 times a many as will had, Logan had 2 times as many Sarah had how many balls does everyone have

Answers

Answer:

Will clearly has 23 snow balls

Sarah has 161 snow balls

Logan has 322 snow balls

All in all thats a lotta dam snow balls hehe :)

Step-by-step explanation:

hope this helps yall :)

The answer is 483 all together

Find the answer plz OR I WILL YEET YOU.

7/2x -3(5x -1/2)

Answers

Answer:

Step-by-step explanation:

Original equation:

7/2x - 3(5x - 1/2) = ?

Use distributive property for the parentheses

-3 · 5x = -15x

-3 · (-1/2) = 3/2 or 1.5

Plug these values into the equation

7/2x - 15x + 1.5 = ?

Combine like factors

-11.5x + 1.5 = a (a = answer)

The equation with fractions:

-11 1/2 + 1 1/2 = a

Hope this helps :)

just say bruh plz it would be funny enjoy the points​

Answers

Answer:

bruh bruh bruh burh ty sm

Bru i finna dip chip & let it rip

sorry br*h is censored for some reason

Convert 5 kilometers to meters

Answers

Answer:

5,000 meters

Step-by-step explanation:

Multiply by 1000, so 5 x 1000 is 5000.

A new youth sports center is being built in a safe harbor. The perimeter of the rectangular playing field is 510 yards. The length is the field is 5 yards less than quadruple the width. What are the dimensions of the plying field?

Answers

Answer:

L=203 yardsW=52 yards

Step-by-step explanation:

Step one:

given data

perimeter= 510 yards

let the width be x, width=x

length= (4x-5)-----quadruple mean 4 times

Step two:

the expression for perimeter is

P=2L+2W

510=2(4x-5)+2x

510=8x-10+2x

510+10=8x+2x

520=10x

divide both sides by 10

x=520/10

x=52

the width is 52 yards

the lenght is  (4x-5)

L=4(52)-5

L=208-5

L=203 yards

Will give brainliest if correct.

Answers

Your answer should come to:

y = -2/3x + 3

Shawn wanted to rent a mo-ped for the afternoon. The rental fee for a mo-ped was $10 plus $7 for each hour he used the bike. Write an expression that represents the cost for h hours. Then, decide how much Shawn spent if he rented the mo-ped for 3 hours.

Answers

Answer:

Total cost= $31

Step-by-step explanation:

Giving the following information:

The rental fee for a mo-ped was $10 plus $7 for each hour he used the bike.

First, we need to structure the total cost formula:

Total cost= 10 + 7h

h= number of hours

Now, for 3 hours:

Total cost= 10 + 7*3

Total cost= $31

if the length of a flag is 18 inches and the width is 12 inches what is the area

Answers

Answer:

18 by 12 is 216

Answer:

216

Step-by-step explanation:

Increase £120 by 25%​

Answers

120 * 0.25 = 30
120 + 30 = £150

2(15+6y)+5y=9 someone help me

Answers

Answer:

y=-21/17

Step-by-step explanation:

Answer:

y= - 21/17

Step-by-step explanation:

Rearrange terms:

2(15+6y) +5y =9

2(6y+15)+5y=9

Distribute:

2(6y +15) +5y=9

12y+30 + 5y = 9

Combine like terms:

12y+30+5y =9

17y+30 =9

Subtract 30 from both sides:

17y+30 =9

17y +30 -30 =9-30

Simplify:

17y=-21

Answer:

y=-21/17

Which expression is equal to 5 6 (6 is an exponent)

6x5
36x6x6x6
25x5x5x5
125x125

Answers

Answer:

125 x 125

Step-by-step explanation:

I got it correct on my i ready pls trust.

the ratio of the measures of the angles of a triangle is 1:2:3 find the measure of each angle​

Answers

Answer: 30, 60, 90

Step-by-step explanation: 30 * (1:2:3)

30+60+90 =180

Sum of all angles of a triangle is 180

Jessica sold half of her comic books and then bought 9 more. She now has 13. How many did she begin with?
Step 1: Define your variable(s)
Step 2: Write an equation.
Step 3: Solve your equation.Step 5: Write a summary statement explaining your solution in the context of the problem..
Step 4: Check your solution.
Step 5: Write a summary statement explaining your solution in the context of the problem..
please helpp me .

Answers

Answer:

She started with 8 books.

Step-by-step explanation:

7 – Зу = 20
y = 5х – 4
QUICK! how do i do this i need the x and y this is the Systems of equations with substitution

Answers

Answer:

x=1/15 y = -4 1/3

Step-by-step explanation:

First combine like terms.

-3y = 13

y= -13/3

y= -4 1/3

Substitute for y in next equation

-4 1/3 = 5x - 4

5x = 4 1/3 - 4

5x = 4 1/3 - 4

5x = 1/3

x = 1/3 divided by 5

Since fractions can't be divided, multiply by the inverse

x = 1/3 times 1/5 = 1/15

What similarity property, if any, can be used to show that the following two triangles are similar.

Answers

They both have right angles and have the same angles overall. Essentially they are the same size, one is just expanded bigger than the other. It might be dilation. The inside line so indicate the similarity in angle sizes.

Answer:

The angles

Step-by-step explanation:

On both triangles, there is a square in the corner which means that both angles are 90 degrees, and then on the left side of the triangle, there are two signs that are the sames meaning those two have the same angle measurement. Based on this knowledge I know that the last angle of the triangle must also be the same degrees since both triangles follow the same equation 90+a+b=180. I know that all angle measurements from one triangle must equal 180. So these are the same triangles with different sizes.

Hope this helps you

steph,andra,emily,and becca are planning a road trip from their hometown to san antonio
hometown:8,6
san antonio:-6,-7
a. if the girls take turns driving and each girl drives the same distance,at what point should they stop from emily to begin her turn as the third driver?
b.at what point does emily's turn to drive end?

Answers

Answer:

a. Emily should begin her turn as the third driver at point (1, -0.5).

b. Emily's turn to drive end at point (-2.5, -3.75).

Step-by-step explanation:

Let assume that the group of girls travels from their hometown to San Antonio in a straight line. We know that each location is, respectively:

Hometown

[tex]H(x,y) = (8,6)[/tex]

San Antonio

[tex]T(x,y) = (-6,-7)[/tex]

Then, we can determine the end of each girl's turn to drive by the following vectorial expression based on the vectorial equation of the line:

Steph

[tex]S(x,y) = H(x,y) + \frac{1}{4}\cdot [T(x,y)-H(x,y)][/tex] (1)

[tex]S(x,y) = (8,6) + \frac{1}{4}\cdot [(-6,-7)-(8,6)][/tex]

[tex]S(x,y) = (8,6) +\frac{1}{4}\cdot (-14,-13)[/tex]

[tex]S(x,y) = (4.5,2.75)[/tex]

Andra

[tex]A(x,y) = H(x,y) + \frac{2}{4}\cdot [T(x,y)-H(x,y)][/tex] (2)

[tex]A(x,y) = (8,6) + \frac{2}{4}\cdot [(-6,-7)-(8,6)][/tex]

[tex]A(x,y) = (8,6)+\frac{2}{4}\cdot (-14,-13)[/tex]

[tex]A(x,y) =(1, -0.5)[/tex]

Emily

[tex]E(x,y) = H(x,y) + \frac{3}{4}\cdot [T(x,y)-H(x,y)][/tex] (3)

[tex]E(x,y) = (8,6) + \frac{3}{4}\cdot [(-6,-7)-(8,6)][/tex]

[tex]E(x,y) = (8,6)+\frac{3}{4}\cdot (-14,-13)[/tex]

[tex]E(x,y) = (-2.5, -3.75)[/tex]

a. If the girls take turns driving and each girl drives the same distance, at what point should they stop from Emily to begin her turn as the third driver?

Emily's beginning point is the Andra's stop point, that is, [tex]A(x,y) =(1, -0.5)[/tex].

Emily should begin her turn as the third driver at point (1, -0.5).

b. At what point does Emily's turn to drive end?

Emily's turn to drive end at point (-2.5, -3.75).

help much? brainliest if i can

Answers

Answer:

Option 1:[tex]y = -\frac{2}{3}x+5[/tex] is the correct answer.

Step-by-step explanation:

The slope-intercept form of a line is given as:

[tex]y = mx+b[/tex]

Here m is the slope and b is the y-intercept

m is calculated using the formula

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Given points are:

[tex](x_1,y_1) = (-3,7)\\(x_2,y_2) = (9,-1)[/tex]

Putting the values in the formula

[tex]m = \frac{-1-7}{9+3}\\= \frac{-8}{12}\\=\frac{-2}{3}[/tex]

Putting m=-2/3 in equation

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

Putting (9,-1) in equation

[tex]-1 = -\frac{2}{3}(9)+b\\-1 = -6+b\\b = -1+6\\b = 5[/tex]

Putting the value of b

[tex]y = -\frac{2}{3}x+5[/tex]

Hence,

Option 1:[tex]y = -\frac{2}{3}x+5[/tex] is the correct answer.

I will give brainliest answer to these questions

Answers

Answer:

THATS MADDDD CAPPPP U NEED 25 POINTS OF THE QUESTION FOR BRAINLIEST

Rent is VERY expensive in Garden City, but after you graduate, you know you want to move into
your own apartment. You have been working the last 2 years and have saved $5,000. If rent is $750
a month, how many months could you pay full rent with your savings?

Answers

Answer:

70000

Step-by-step explanation:

PLEASE HELP I NEED THIS TODAY!!​

Answers

Answer:

The area is 200.96 in^2

Step-by-step explanation:

Answer:

200.96 in^2

Step-by-step explanation:

circle area formula is πr^2

radius = diameter / 2, radius is 8

8^2.π  = 64π  

π  = 3,14

final answer is 64 X 3.14= 200.96 in^2

Which of these graphs is the solution set for the equation y = -x?

Answers

It is B because when x = 1 y = -1 and when x= -3 y = 3

Answer:

B!

Step-by-step explanation:

I took the test and this was correct :)

Expand and simplify 6(2x - 3) – 2(2x + 1)

Answers

Answer 8x - 20

Step-by-step explanation:

6(2x - 3) - 2(2x + 1)

Distribute

6(2x) -6( 3) - 2(2x) -2( 1)

12x -18 -4x -2

Combine like terms

12x -4x    -18 -2

8x-20

20 points and brainliest.

Answers

Answer:

c.

Step-by-step explanation:

f(x)=3x+5

y=3x+5

x=3y+5

x-5=3y

y=(x-5)/3

y=1/3x-5/3

If bill gates gave everyone in the world his money EQUALLY how much would each person have?

Not serious question. You dont have to answer it if you dont want to i just wanted to know.

Answers

Answer:

It's five hundred thousand each.

Step-by-step explanation:

This is for everyone in the United states so everyone would get five hundred thousand ultimately ending poverty. But The only way top end out is for them to end poverty is people get a job and house and decent car.

Plz give Brainliest!!!

PLEASE HELP CORRECT ANSWER GETS BRAINLIEST !

Answers

Answer:

2nd Option

Step-by-step explanation:

Kaley and Tom both work at Publix as cashiers for $7.68 per hour. This week Kaley worked 5 more hours than Tom in overtime. Write an expression that represents the weeks' wages for Kaley and Tom combined if h represents the number of hours Tom worked?

Answers

Answer:

X=5+h

Step-by-step explanation:

PLEASEEEEEE HELPPPPP ASAPPPP

Answers

The correct answer is f(x)= 25z + 400
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