Answer
$a)$
$y=3$
$b)$
$m=0$ and $b=3$
$c)$
Work Step by Step
$3y-9=0$
The slope-intercept form of the equation of a line $y=mx+b$, where $m$ is the slope of the line and $b$ is its $y$-intercept
$a)$
$3y-9=0$
Take $9$ to the right side of the equation:
$3y=9$
Take the $3$ to divide the right side:
$y=\dfrac{9}{3}$
$y=3$
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 $m=0$ and $b=3$
The slope of the given line is $m=0$ and its $y$-intercept is $(0,3)$
$c)$
The graph is shown below:
