Question

Find the endpoint if A (5,-2) and the midpoint is B (3,6), what is C

Answer 1

C = (1, 14 )

Explanation:

The coordinates of the midpoint are the average of the x and y coordinates of the endpoints.

Find the average of endpoints and equate to coordinates of midpoint

A (5, - 2 ) , let C = (x, y ) , then

`(x+5)/(2)` = 3 ( multiply both sides by 2 )

x + 5 = 6 ( subtract 5 from both sides )

x = 1

and

`(y-2)/(2)` = 6 ( multiply both sides by 2 )

y - 2 = 12 ( add 2 to both sides )

y = 14

Coordinates of C = (1, 14 )