Answer:
The answer is A.
Step-by-step explanation:
Given that the formula for midpoint is :
[tex]m = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]
So you have to subtitute the coordinates into the formula :
[tex]let \: m = (0,4) \\ let \: (x1,y1) = (6, - 2)[/tex]
[tex](0,4) = ( \frac{6 + x2}{2} , \frac{ - 2 + y2}{2} )[/tex]
Next, you have to solve it by comparison :
[tex]x⇒ \\ \frac{6 + x}{2} = 0 \\ 6 + x = 0 \\ x = - 6[/tex]
[tex]y⇒ \\ \frac{ - 2 + y}{2} = 4 \\ - 2 + y = 8 \\ y = 10[/tex]
