Answer
a) $y=2x-3$
b) $m=2$, $b=-3$
c) See below.
Work Step by Step
(a)
Rearrange the equation in the standard slope-intercept form of $y=mx+c$ by solving the equation for y. Bring all the variables other than y and constant terms to one side.
$\begin{align}
& 8x-4y-12=0 \\
& y=2x-3
\end{align}$
(b)
From (a) above, the slope-intercept form of the equation is $y=2x-3$.
Compare the given equation with the standard slope-intercept form of the equation, $y=mx+c$ where m is the slope and c is the y-intercept of equation
The value obtained will be $m=2$ and $c=-3$.
Hence, the slope of the equation is $2$ and the y-intercept is $-3$.
(c) See below.
