Answer: (6, -6)
Step-by-step explanation:
so midpoint =([tex]\frac{X1+X2}{2}[/tex],[tex]\frac{Y1+Y2}{2}[/tex])
for x co ordinate
[tex]\frac{-2+X2}{2}[/tex]=2
-2+X=4 (X2=x co ordinate point for b, can be written as just x now)
X=6
x co ordinate of B= 6
y co ordinates of y
[tex]\frac{-8+Y2}{2}[/tex]=-7
-8+Y=-14
Y=-6
co ordinates B (6,-6)
for proof/extra explanation (NOT necessary for working):
[tex]\frac{Y1+Y2}{2}[/tex]
=[tex]\frac{(-2)+6, (-8)+(-6)}{2}[/tex]
=[tex]\frac{4, -14}{2}[/tex]
=(2,-7)
which is the midpoint M
