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 $y=mx+b$
$7x-2y=7\qquad/-7x$
$-2y=-7x+7\qquad/\div(-2)$
$y=\displaystyle \frac{7}{2}x-\frac{7}{2}$
from where we read:
slope=$\displaystyle \frac{7}{2}$,
y-intercept: $-\displaystyle \frac{7}{2}$.
1. Determine the y-intercept, and plot the point $(0,-\displaystyle \frac{7}{2})$
2. Use the run-rise logic:
for an increase in x by $2$,
y will change by $+7$.
Moving to the right by four units from $(0,-\displaystyle \frac{7}{2})$,
the point we arrive at is $(0+2,-\displaystyle \frac{7}{2}+\frac{14}{2})=(2, \frac{7}{2}).$
Plot the second point.
Two points define a line.
Draw a straight line through these two points.
