Answer
$a)$
$y=-3x+5$
$b)$
$m=-3$ and $b=5$
$c)$
Work Step by Step
$3x+y-5=0$
The slope-intercept form of the equation of a line is $y=mx+b$, where $m$ is the slope of the line and $b$ is its $y$-intercept
$a)$
$3x+y-5=0$
Take $3x$ and $5$ to the right side of the equation:
$y=-3x+5$
The equation is now in slope-intercept form.
$b)$
Comparing the obtained equation to the slope-intercept form of the equation of a line shown at the top, it can be seen that $m=-3$ and $b=5$.
The slope of the line given is $m=-3$ and its $y$-intercept is $(0,5)$
$c)$
The graph is shown below:
