Question

Given the midpoint (1.5,1.5) and the endpoint (5,7) where is the other endpoint located

Answer 1

The formula of a midpoint:

`M_(AB)\left((x_A+x_B)/(2),\ (y_A+y_B)/(2)\right)`

We have:

`M(1.5,\ 1.5)\to x_M=1.5,\ y_M=1.5\\A(5,\ 7)\to x_A=5,\ y_A=7`

Substitute

`(5+x_B)/(2)=1.5\qquad|\cdot2\\\\5+x_B=3\qquad|-5\\\\x_B=-2\\\\(7+y_B)/(2)=1.5\qquad|\cdot2\\\\7+y_B=3\qquad|-7\\\\y_B=-4`

Answer: (-2, -4)