Answer
x-intercept: -2
y-intercept: -2
Work Step by Step
(-6, 4) and (3, -5) are given
$m = (4--5)/(-6-3)$
$m = 9/-9 = -1$
$y = mx+b $
$4 =-6*-1+b$
$4 = 6 + b $
$4-6 = 6 + b -6$
$-2 = b$
$y=-x -2$
Let x = 0:
$y = -1*0 - 2$
$y = -2$
Let y =0:
$0 = -x -2$
$0 +2 = -x -2 + 2$
$2 = -x$
$2*-1 = -x * -1$
$-2 = x$
