UWCABook-31.pdf - 1.1 The Cartesian Coordinate Plane 23...

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1.1 The Cartesian Coordinate Plane 23 P ( x 1 , y 1 ) Q ( x 2 , y 2 ) M If we think of reaching M by going ‘halfway over’ and ‘halfway up’ we get the following formula. Equation 1.2 . The Midpoint Formula: The midpoint M of the line segment connecting P ( x 1 , y 1 ) and Q ( x 2 , y 2 ) is: M = x 1 + x 2 2 , y 1 + y 2 2 If we let d denote the distance between P and Q , we leave it as an exercise to show that the distance between P and M is d/ 2 which is the same as the distance between M and Q . This suffices to show that Equation 1.2