Answer
a) $y=-\frac{2}{3}x-2$
b) $m=-2/3$, $b=-2$
c) See below
Work Step by Step
(a)
Rearrange the equation in 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.
$\begin{align}
& 4x+6y+12=0 \\
& y=-\frac{2}{3}x-2
\end{align}$
(b)
From (a) above, the slope-intercept form of the equation is $y=-\frac{2}{3}x-2$.
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 the equation.
The value obtained will be $m=-\frac{2}{3}$ and $c=-2$.
Hence, the slope of the equation is $-\frac{2}{3}$ and the y-intercept is $-2$.
