Answer
(a.) Slope-intercept form $y=-3x+2$.
(b.) Slope $m=-3$ and $y−$ intercept is $b=2$.
(c.) The graph is shown below.
Work Step by Step
(a) The standard slope-intercept form is $y=mx+c$.
Where, $m=$ slope and $c=y−$intercept.
The given equation is $3x+y=2$.
Isolate $y$.
$y=-3x+2$.
(b.) The slope of the equation is $m=-3$.
and the $y−$ intercept is $b=2$.
(c.) The first point is $(0,2)$, because $b=2$.
For the second point use slope.
slope $=\frac{-3}{1}=\frac{Rise}{Run}$.
The second point is $(0+1,2-3)=(1,-1)$.
By using these two point draw a straight line.
