Answer
a) $y=-\frac{2}{3}x+6$
b) $m=-2/3$, $b=6$
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. For this, bring all the variables other than y and constant terms to one side.
$\begin{align}
& 2x+3y-18=0 \\
& y=-\frac{2}{3}x+6
\end{align}$
(b)
From (a) above, the slope-intercept form of the equation is $y=-\frac{2}{3}x+6$.
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 $c=6$.
Hence, the slope of the equation is $-\frac{2}{3}$ and y-intercept is $6$.
(c) Part c is given below.
