Question

The midpoint of JK is point L at (–1, 8). One endpoint is J(4, –15). Which equations can be solved to determine the coordinates of the other endpoint, K? Select two options.

= –1
= 4
–15 + y1 =16

= y1

Answer 1

The two midpoint equations:
- (4 + x1)/2 = −1 (equivalently 4 + x1 = −2)
- (−15 + y1)/2 = 8 (equivalently −15 + y1 = 16)

Solving gives x1 = −6 and y1 = 31, so K = (−6, 31).