The Distance and Midpoint Formulas Topic 7.1 Distance Formula Used to find the distance between two points distance ( x2 x1 ) ( y2 y1 ) 2 2 Example Find the distance between A(4,8) and B(1,12) A (4, 8) B (1, 12) distance ( x2 x1 ) ( y2 y1 ) 2 distance (1 4) (12 8) 2 distance (3) (4) 2 2 2 distance 9 16 25 5 2 YOU TRY!! Find the distance between: A. (2, 7) and (11, 9) (9) (2) 85 2 2 B. (-5, 8) and (2, - 4) (7) (12) 193 2 2 Midpoint Formula Used to find the center of a line segment x2 x1 y2 y1 midpoint , 2 2 Example Find the midpoint between A(4,8) and B(1,12) A (4, 8) B (1, 12) x2 x1 y2 y1 midpoint , 2 2 1 4 12 8 midpoint , 2 2 midpoint 5 ,10 2 YOU TRY!! Find the midpoint between: A) (2, 7) and (14, 9) midpoint = 8,8 B) (-5, 8) and (2, - 4) -3 midpoint = , 2 2