Question

Find the other endpoint of the line segment with the given endpoint and midpoint.

Answer 1

Answer:

endpoint is (29, -13)

Step-by-step explanation:

Formula for midpoint is $(\frac{x_{1} + x_{2} }{2} ,\frac{y_{1} + y_{2} }{2} )$

So, let $(x_{2} , y_{2} )$ be the coordinates of the endpoint you are looking for.

$x_{1} = -9$  and $y_{1} = 7$

$(\frac{-9 + x_{2} }{2} , \frac{7 + y_{2} }{2} )$ = (10, -3)

$\frac{-9 + x_{2} }{2} = 10$           $\frac{7 + y_{2} }{2} = -3$

-9 + $x_{2}$ = 20         7 + $y_{2} = -6$

$x_{2} = 29$                    $y_{2} = -13$

endpoint is (29, -13)