Answer:
The coordinates of the other end point is (-18,10).
Step-by-step explanation:
Let the coordinates of other point is Q(x,y)
⇒ M(-4,8) is the mid point of P(10,6) and Q(x,y).
MID-POINT FORMULA states that for a mid point (a,b):
[tex](a,b) =( \frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )[/tex]
Applying the same mid point formula here, we get:
[tex](-4,8) =( \frac{10 + x}{2} , \frac{6+y}{2} )[/tex]
or, [tex](\frac{10+x}{2}) = -4 \implies x = -8 -10 = -18[/tex]
and [tex](\frac{6+y}{2} ) = 8 \implies x = 16 -6 = 10[/tex]
or, (x,y) = (-18, 10)
or, the coordinates of Q is (-18,10)
Hence, the coordinates of the other end point = (-18,10)
