How do you find the point of intersection between two lines? - Answers

At the point of intersecting lines, the points are equal. Watch this: The equation of the 1st line is Y=3x-7 The equation of the 2nd line is Y=-2x+3 Remember, at the intersecting points they are equal. So then: 3x-7=-2x+3 Now solve for x (get x by itself in the form of x=whatever) 3x-7=-2x+3 +2x +2x (What you do to one side of the equal sign you must do to the other) ____________ 5x -7 = 3 +7 = +7 ____________ 5x = 10 now divide by 5 to remove the 5 from the x in 5x. ___ ___ 5 5 x=2 Then you sub x=2 into any of the two equation. Lets use the first one: Y=3x-7 becomes Y=3(2)-7 Y=6-7 Y=-1 So the intersecting point is (2,-1)