Answer
x-intercept: 6
y-intercept: 6
Work Step by Step
(-2, 8) and (4, 2) are given
$m = (8-2)/(-2-4)$
$m = 6/-6$
$m = -1$
$y=mx+b$
$2 = 4*-1 + b$
$2 = -4 + b$
$2 + 4 = -4 + b + 4$
$6 = b$
$y=-x + 6$
$y+x = -x + 6 + x$
$x+y = 6$
Let x = 0
$0 + y = 6$
$ y= 6$
Let y = 0
$x + 0 = 6$
$x = 6$