Answer
x-intercept: 10
y-intercept: -10/3
Work Step by Step
(-5, -5) and (4, -2) are given
$m = (-5--2)/(-5-4)$
$m = -3/-9$
$m= 1/3$
$y=mx+b$
$-5 = 1/3 * -5 +b$
$-5 = -5/3 + b$
$-5+5/3 = -5/3 + b + 5/3$
$-10/3 = b$
$y = 1/3*x -10/3$
Let x = 0:
$y = 1/3*0 -10/3$
$y = -10/3$
Let y = 0:
$0 = 1/3*x -10/3$
$0 +10/3 = 1/3 *x -10/3+10/3$
$10/3 = 1/3*x$
$10/3*3 = 1/3*x *3$
$10 =x $
