Respuesta :

Answer:

endpoint is (29, -13)

Step-by-step explanation:

Formula for midpoint is [tex](\frac{x_{1} + x_{2} }{2} ,\frac{y_{1} + y_{2} }{2} )[/tex]

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

[tex]x_{1} = -9[/tex]  and [tex]y_{1} = 7[/tex]

[tex](\frac{-9 + x_{2} }{2} , \frac{7 + y_{2} }{2} )[/tex] = (10, -3)

[tex]\frac{-9 + x_{2} }{2} = 10[/tex]           [tex]\frac{7 + y_{2} }{2} = -3[/tex]

-9 + [tex]x_{2}[/tex] = 20         7 + [tex]y_{2} = -6[/tex]

[tex]x_{2} = 29[/tex]                    [tex]y_{2} = -13[/tex]

endpoint is (29, -13)