Answer
$a)$
$y=2x-3$
$b)$
$m=2$ and $b=-3$
$c)$
Work Step by Step
$8x-4y-12=0$
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
$a)$
$8x-4y-12=0$
Take $4y$ to the right side of the equation:
$8x-12=4y$
Rearrange:
$4y=8x-12$
Take the $4$ to divide the right side:
$y=2x-3$
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 $m=2$ and $b=-3$
The slope of the given line is $m=2$ and its $y$-intercept is $(0,-3)$
$c)$
The graph is shown below:
