Answer
$a)$
$y=\dfrac{6}{5}x-4$
$b)$
$m=\dfrac{6}{5}$ and $b=-4$
$c)$
Work Step by Step
$6x-5y-20=0$
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
$a)$
$6x-5y-20=0$
Take $5y$ to the right side of the equation:
$6x-20=5y$
Rearrange:
$5y=6x-20$
Take the $5$ to divide the right side:
$y=\dfrac{6}{5}x-4$
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 $m=\dfrac{6}{5}$ and $b=-4$
The slope of the given line is $m=\dfrac{6}{5}$ and its $y$-intercept is $(0,-4)$
$c)$
The graph is shown below:
