If a line segment contains one endpoint at (2,3) and has a midpoint of (-2,6) What is the second endpoint of the line segment?

Question

A. (2,4)

B. (-6,9)

C. (6,-2)

D. (2,2)

Answer 1

The midpoint formula for x is x1 + x2 / 2 and for y is y1 + y2 / 2

Given the information we have, the formula is 2 + x2 / 2 = -2 and 3 + y2 / 2 = 6

Multiplying each side by 2 gives us...

Solving gives us .. 2 + x1 = -4 and 3 + y2 = 12

x1 = -6 and y2 = 9

So (-6,9) is the answer.