Answer
a) $y=-3x+5$
b) $m=-3$, $b=5$
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. For this, bring all the variables other than y and constant terms to one side.
$\begin{align}
& 3x+y-5=0 \\
& y=-3x+5
\end{align}$
(b)
From (a) above, the slope-intercept form of the equation is $y=-3x+5$.
Compare the given equation with the standard slope-intercept form of the equation, $y=mx+c$ where m is slope and c is the y-intercept of the equation.
The value obtained will be $m=-3$ and $c=5$.
Hence, the slope of equation is $-3$ and the y-intercept is $5$.
Part (c) is given below:
