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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From $y=-\displaystyle \frac{2}{3}x+2$ we read:
slope=$\displaystyle \frac{-2}{3}$,
y-intercept: $2$.
1. Determine the y-intercept, and plot the point $(0,2)$
2. Use the run-rise logic:
for an increase in x by $3$,
y will change by $-2$.
Moving to the right by one unit from $(0,2)$,
the point we arrive at is $(0+3,2-2)=(3, 0).$
Plot the second point.
Two points define a line.
Draw a straight line through these two points.
