Question

A line passes through (2,-7) and (-3,3) find the slope intercept form of the equation of the line

Answer 1

first we can find the slope between the two points by using the slope formula

m=(y₂-y₁)/(x₂-x₁)

m=(3-(-7))/(-3-2)

m=(3+7)/(-3-2)

m=10/-5

m= -2

now that we have the slope, we can set up our equation. slope-intercept form is:

y=mx+b

where m is the slope and b is the y-intercept.

since we have the slope, we can choose one of the points that we are given to plug in for x and y, and then solve for b

-7 = 2(-2) + b

-7 = -4 + b

-3 = b

now that we have all the values we need, we can put it into our slope-intercept formula.

y=mx+b

y=-2x+(-3)

y = -2x -3

hope this helps