Answer
please see image
Work Step by Step
Graphically,
$m$ is the slope of the line $y=mx+b$:
$m=\displaystyle \frac{\Delta y}{\Delta x} =\displaystyle \frac{Rise}{Run}$
b is the y-intercept
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First, write the equation in the form $y=mx+b$
$y+\displaystyle \frac{1}{4}x=-4\qquad/-\frac{1}{4}x$
$y=-\displaystyle \frac{1}{4}x-4$
From where we read:
slope=$\displaystyle \frac{-1}{4}$,
y-intercept: $-4$.
1. Determine the y-intercept, and plot the point $(0,-4)$
2. Use the run-rise logic:
for an increase in x by $4$,
y will change by $-1$.
Moving to the right by four units from $(0,-4)$,
the point we arrive at is $(0+4,-4-1)=(4, -5).$
Plot the second point.
Two points define a line.
Draw a straight line through these two points.
