Answer
x-intercept: 4
y-intercept: -1.6
Work Step by Step
(5, .4) and (-1, -2) are given
$ m = (.4--2 )/(5--1)$
$m = 2.4/6$
$m = .4$
$y=mx+b$
$.4 = .4*5 + b$
$.4= 2 + b$
$.4 - 2 = 2+b - 2$
$-1.6 = b$
$y=.4x-1.6$
Let x = 0:
$y=.4*0-1.6$
$y = -1.6$
Let y = 0
$0 = .4x - 1.6$
$0+1.6 = .4x - 1.6 + 1.6$
$1.6 = .4x$
$1.6/.4 = .4x/.4$
$4 = x$