Explanation:
Distribute your numbers in your equation : y-1=2/3(x-2) so it should look like
y-1=2/3x-4/3
Now you need Y on one side to have a slope intercept form so add one to -4/3. Now you should have y=2/3x-1/3.
Now, on your graph, find the delta or (rise over run) of 2/3x since it's your slope. Hope this helps.