Question

The midpoint of CD is M=(1, 2). One endpoint is C = (6, -2).

Answer 1

Answer: Endpoint = (-4,6)

Step-by-step explanation:

To find any endpoint use the formula $\frac{x_1+x_2}{2} = Xmp$    $\frac{y_1+y_2}{2} =Ymp$

$\frac{6+x_2}{2} = 1$          $\frac{-2+y_2}{2} =2$    

multiply each by 2  to simplify

$\frac{6+x_2}{2*2} = 1*2 = {6+x_2}= 2$    $\frac{-2+y_2}{2*2} =2*2 = -2+y_2=4$ take the equations and simplify

6+$x_{2}$ = 2                          -2+$y_{2}$ = 4  =  

-6       -6                          +2       +2

   $x_{2}$ = -4                               $y_{2}$ =  6

To check use the Midpoint formula

$\frac{-4+6}{2} , \frac{6-2}{2} = \frac{2}{2} , \frac{4}{2} = (1,2)$