Step 1: Do some algebra to find the x-coordinate at the point of intersection:

EXAMPLE: y = 2x + 3, y = -0.5x + 7

Setting the two y-coordinates equal looks like this:

                  2x + 3 = -0.5x + 7    We start here.

                  2.5x + 3 = 7              Add 0.5x to each side.

                    2.5x = 4                  Subtract 3 from each side

                      .x = 4/2.5              Divide each side by 2.5.

                      x = 1.6                  Divide 4 by 2.5.

Step 2: Find the y-coordinate.

            NOTE: The y-coordinate can be found by placing the x-coordinate, into

            either of the equations for the lines and solving for y.

Step 3: You now have the x-coordinate and y-coordinate for the point of intersection.

            NOTE: As a check for your work plug the x-coordinate into the other

            equation and you should get the same y-coordinate.