Answer
(a) $y=\frac{4}{5}x-4$
(b) $slope=m=\frac{4}{5}$
(c) $y-intercept=b=-4$; point $(0,-4)$
(d) See graph.
Work Step by Step
(a)
A line in slope-intercept form has the equation:
$y=mx+b$ ($m=slope$, $b=y-intercept$)
We put the equation into slope-intercept form:
$4x-5y=20$
$-5y=20-4x$
$-5y=-4x+20$
$y=\frac{4}{5}x-4$
(b) We see that $slope=m=\frac{4}{5}$
(c) We see that $y-intercept=b=-4$; point $(0,-4)$
(d) See graph.