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