Question

How do you write an equation in slope-intercept form of the line that passes through the points (-2,4) and (3,-1)?

Answer 1

`y=-x+2`

Explanation:

Two point equation for slope-intercept form can be written as
`y-y1=(y2-y1)/(x2-x1) (x-x1)`
As per given points (x1, y1) = (-2,4) and (x2, y2)=(3,-1)
Therefore #y-4=(-1-4)/(3+2) (x+2) = y-4=-5/5 (x+2)= y--4=-(x+2)=y-4=-x-2=y =-x-2+4= y=-x+2#

Answer 2

`y=-x+2`

Explanation:

It is explained in the picture.