Answer
Refer to the graph below.
Work Step by Step
Recall:
(1) The slope $(m)$ of a line is the average change in $y$ for every unit of change in $x$, and can be interpreted as the rise (change in $y$) over run (change in $x$).
(2) The line $y=m x+b$ has a slope of $m$ and a $y$-intercept of $(0, b)$.
Thus, $y=\frac{1}{2}x+7$ has a slope of $\dfrac{1}{2}$ and has $(0, 7)$ as its $y$-intercept.
From $(0, 7)$, use the concept of slope as rise over run by moving $1$ units up (the rise) and $2$ units to the right (the run) to obtain the point $(2, 8)$.
Plot the points then connect them using a straight line.
Refer to the graph above.
