Answer
$y=\dfrac{1}{2}x-\dfrac{1}{2}$
Work Step by Step
The equation of a line in the point-slope form is the following:
$y-y_1=m(x-x_1)$, where $m$ is the slope and the point $(x_1,y_1)$ is on the graph.
Here, our line's slope is:
$m=\frac{1}{2}$
Therefore, using the point $(3, 1)$ and the slope $|frac{1}{2}$, the equation can be written as:
$y-1=\dfrac{1}{2}(x-3)\\
y-1=\dfrac{1}{2}x-\dfrac{3}{2}\\
y=\dfrac{1}{2}x-\dfrac{3}{2}+1\\
y=\dfrac{1}{2}x-\dfrac{1}{2}$
