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