What is the common point between lines y = ¾ x + 2 and y = -¼ x + 4?

You make both equations equal to each other. Then solve for x. 3/4x+2=-1/4x+4
X+2=4
X=2
Then plug x into either equation which gives you a y value and that will give you y coordinate of common point. So (2,3.5) is the point of intersection