First, you can turn this equation into a more recognizable form.
Add 5 to each side of the equation.
(y - 5) + 5 = (3/2(x - 2)) + 5
Now the equation will look like y = 3/2(x - 2) + 5
We can also distribute the 3/2, but we'll leave it like that.
Now, to plot a line, you must find two points and run a line through the two points! That's it!
To find a point, enter some values for x. I'll do x = 0
Substitute: y = 3/2(0 - 2) + 5
After doing the math, y equals to -2.
So, the first point will be (0, 2)
Now for the second point. x = 1
y = 3/2(0 - 1) + 5
After doing the math, y equals to 6.5
Now out second point is (1, 6.5)
Now after plotting these two points, run a line through them.