Answer
(a) $y=-4x$
(b) $4x+y=0$
(c) See graph
Work Step by Step
(a) Find the slope of the line:
$m=\frac{y_2-y_1}{x_2-x_1}=\frac{-4-4}{4-2}=\frac{-8}{2}=-4$
Find the equation of the line in slope-intercept form:
$y-0=m(x-0)$
$y=mx$
$y=-4x$
(b)
$y=-4x$
$4x+y=0$
(c) We graph the line.
