Answer
C) (-1, -1)
Work Step by Step
One line goes through $(-2, 0)$ and $(0,-2)$. The other line goes through $(2,3)$ and $(-1, -1)$
$m=(0--2)/(-2-0)$
$m = 2/-2 = -1$
$y=mx+b$
$-2 = -1*0+b$
$-2 = b$
$y=-x-2$
$m=(3--1)/(2--1)$
$m=4/3$
$y=mx+b$
$3=4/3*2+b$
$3 = 8/3+b$
$9/3 = 8/3 +b$
$1/3=b$
$y=4/3x+1/3$
$-x-2 = 4/3x+1/3$
$3*(-x-2 = 4/3x+1/3)$
$-3x-6 = 4x+1$
$-3x-6+3x+6 = 4x+1+3x+6$
$0 = 7x+7$
$-7 = 7x$
$-7/7 = 7x/7$
$-1 = x$
$y=-x-2$
$y=-(-1)-2$
$y=1-2$
$y=-1$
$(-1, -1)$ is the intersection of the two lines.
