Answer
x-intercept: 1/3
y-intercept: 1
Work Step by Step
(3, -8) and (-4, 13) are given
$m = (13--8)/(-4-3)$
$m = 21/-7$
$m = -3$
$y = mx+b$
$13 = -3*-4 + b$
$13 = 12 + b$
$13-12 = 12 + b -12$
$1 = b$
$y=-3x+1$
Let x = 0
$y = -3*0 + 1$
$y = 0 + 1 $
$y =1 $
Let y = 0
$0 = -3x+1$
$0 + 3x = -3x+1+3x$
$3x = 1$
$3x/3 = 1/3$
$x = 1/3$