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