Mathematics: IF (-6, 4) is the endpoint of a line segment, and (-2, -1) is its midpoint, find the other endpoint. A) (2,-6) B) (-14, 14) 9 (-16, 12) D) (2,9)

IF (-6, 4) is the endpoint of a line segment, - id646928507, alyssatamayo641

jordynmcgee123

29.01.2022

A midpoint has coordinates of (-2, -1) we will call them (x_m, y_m) .

The coordinates of a midpoint are constructed from coordinates of enpoints (x_1,y_1),(x_2,y_2) , namely as a divided sum.

$x_m=\frac{x_1+x_2}{2}\implies x_1=2x_m-x_2 \\y_m=\frac{y_1+y_2}{2}\implies y_1=2y_m-y_2$

Now insert the numbers.

$x_1=2(-2)-(-6)=2 \\y_1=2(-1)-4=-6$

The result is an endpoint at (2,-6) .

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