Question

Write an equation of the line that passes through the given points. ​(-1,7) and (3,-5)

Answer 1

Answer:

y=-3x+4

Step-by-step explanation:

First, let's find the slope (m)

(-1,7), and (3,-5)

the formula is: (y2-y1)/(x2-x1)

we can label the points.

x1=-1

y1=7

x2=3

y2=-5

substitute into the equation

m=(-5-7)/(3--1)

m=(-12)/4

m=-3

Now let's use the equation for point-slope form, which is y-y1=m(x-x1)

using the labeled points from above:

y-7=-3(x+1)

do distributive prop

y-7=-3x-3

add 7 to both sides

y=-3x+4