Question on Finding Mid Point of a Slope by Y-Intercept Method

Topic : Mid Point Formula

Question : Find the co ordinates of the other end point of a segment given one end point and the mid point M. End point L(-8,6) Mid Point M(1/2,4)

Answer :
L___________M____________N

L=(-8,6)
M=(1/2,4)
N=(x2,y2) ----- need to find

We have Mid point (x, y) Formula = (x1+x2/2, y1+y2/2)
(1/2,4) = (-8+x2/2, 6+y2/2)

Since the orded pairs are equal.
the x and y co ordinates of the orded pairs are equal.

1/2 = -8+x2/2
multiply both sides by 2
1 = -8+x2
1+8=x2
9 = x2

4 = 6+y2/2
multiply both sides by 2
8 = 6+y2
8-6=y2
2 = y2

So the other end point is (9, 2)