Remember: if 2 lines are parallel, they have the same slope.
You are given y = 2x + 3. Comparing this to y = mx + b, we see that the slope, m, is 2.
Use the point-slope formula to find a first equation of this new line.
y-k = m(x-h), where (h,k) is any point that lines on the graph. In this case that point is (3,2). Thus, including m = 2, we get
y-2 = 2(x-3)
This is one of the possible answers. You could rewrite this in slope-intercept form.
In that case you'd get y = 2 + 2x - 6, or y = 2x - 4 (answer in slope-intercept form)
