#### Answer

slope = $4$
y-intercept: $(0, -7)$
Refer to the graph below.

#### Work Step by Step

Solve for $y$:
$4x-y=7
\\4x-y-4x=7-4x
\\-y=-4x+7
\\-1(-y)=-1(-4x+7)
\\y=4x-7$
This means that the given equation is equivalent to $y=4x-7$.
RECALL:
The slope-intercept form of a line's equation is $y=mx+b$ where $m$=slope and $(0, b)$ is the line's y-intercept.
Thus, the equation $y=4x-7$ has a slope of $4$ and a y-intercept of $(0, -7)$.
To graph the equation, perform the following steps:
(1) Plot the y-intercept $(0, -7)$.
(2) Use the slope to plot a second point.
Since the slope is $4$, from $(0, -7)$, move 4 units down (the rise) and 1 unit to the right (the run) to reach the point $(1, -3)$. Plot $(1. -3)$.
(3) Connect the points using a straight line.
(Refer to the graph in the answer part above)