Question

how do you graph y=3/2x+4 in standard form

Answer 1

x  |  y
----------
-3 | 3.5
-2 | 3.25
-1 | 2.5
1  | 5.5
2  | 4.75
3  | 4.5

Answer 2

You can graph this by looking at the last number +4. That number shows where it will cross the y-axis.
Put a point on (0,4).  now, from there, look at the number that is written with the x:  3/2.  
That is the slope, or how far up and over you go from one point to the next.
So, start at (0,4), and count up 3 and go over to the right 2 and that's where your second point will be. You continue with that point and go up 3 and over 2 for the third point, and so on. Now you can connect the dots with a ruler. That's how you plot on a graph.