Question

What is the y coordinate of the y−intercept of the line that passes through the points
(−2, −2) and (2, 4)?

Answer 1

First take out slope m= (2+2)/(4+2)=4/6=2/3
use equation (y-y1)=m(x-x1)
taking x1=-2 and y1=-2
y+2=2(x+2)/3
3(y+2)=2x+4
3y+6=2x+4
3y=2x+4-6
3y=2x-2
y=(2x/3)-(2/3)

this equation is in slope intercept form y=mx+c
so c=-2/3 is your answer