Answer
x-intercept: -53/5
y-intercept: 53/3
Work Step by Step
(-7, 6) and (-4, 11) are given
$m = (6-11)/(-7--4)$
$m= -5/-3$
$m = 5/3$
$y=mx+b$
$11 = 5/3 *-4 + b$
$11 = -20/3 + b$
$11+20/3 = -20/3 + b + 20/3$
$53/3 = b$
$y = 5/3*x + 53/3$
Let x = 0:
$y = 5/3*0 + 53/3$
$y = 53/3$
Let y = 0
$y = 5/3*x + 53/3$
$0 = 5/3*x + 53/3$
$0*3= 3*(5/3*x + 53/3)$
$0 = 5x + 53$
$0-53 = 5x +53 -53$
$-53 = 5x$
$-53/5 = 5x/5$
$-53/5 = x$
