Question

Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (-2, -6) Midpoint: (-5, 1)

Answer 1

(-8,8)

Explanation:

The midpoint
`M(x_M,y_M)` of the segment AB with endpoints
`A(x_A,y_A)` and
`B(x_B,y_B)` has coordinates

`x_M=(x_A+x_B)/(2)\\ \\y_M=(y_A+y_B)/(2)`

In your case,
`A(-2,-6), \ M(-5,1),` then

`-5=(-2+x_B)/(2)\Rightarrow -2+x_B=-10,\ x_B=-10+2=-8\\ \\1=(-6+y_B)/(2)\Rightarrow -6+y_B=2,\ y_B=2+6=8`