Answer
Graph of $y=\frac{3}{2}x +\frac{1}{2} $
Work Step by Step
First we need to convert this point-slope form equation into standard form.
Given:
$y - 2=\frac{3}{2}(x-1) $
Distribute $\frac{3}{2}$ and then solve for y:
$y =\frac{3}{2}x -\frac{3}{2} + 2 $
Simplify:
$y=\frac{3}{2}x +\frac{1}{2} $
From this plot the y intercept $y = \frac{1}{2}$
Then use the slope to plot the remaining points to sketch the graph
