Answer: Endpoint = (-4,6)
Step-by-step explanation:
To find any endpoint use the formula [tex]\frac{x_1+x_2}{2} = Xmp[/tex] [tex]\frac{y_1+y_2}{2} =Ymp[/tex]
[tex]\frac{6+x_2}{2} = 1[/tex] [tex]\frac{-2+y_2}{2} =2[/tex]
multiply each by 2 to simplify
[tex]\frac{6+x_2}{2*2} = 1*2 = {6+x_2}= 2[/tex] [tex]\frac{-2+y_2}{2*2} =2*2 = -2+y_2=4[/tex] take the equations and simplify
6+[tex]x_{2}[/tex] = 2 -2+[tex]y_{2}[/tex] = 4 =
-6 -6 +2 +2
[tex]x_{2}[/tex] = -4 [tex]y_{2}[/tex] = 6
To check use the Midpoint formula
[tex]\frac{-4+6}{2} , \frac{6-2}{2} = \frac{2}{2} , \frac{4}{2} = (1,2)[/tex]
