Question

The midpoint of  is point P at (−6,−2). If point E is at (2,−4), what are the coordinates of point F?

(−14,0)
(−10,−8)
(−5,3)
(−2,−3)

Answer 1

A). (-14, 0)

Explanation:

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Answer 2

F would be (-14, 0)

In order to find this, we first have to note that the coordinates of P would simply be the average of it's E and F counterparts. We'll first start by finding the x value.

(Ex + Fx)/2 = Px

(2 + Fx)/2 = -6

2 + Fx = -12

Fx = -14

Now we'll do the same for the y coordinate.

(Ey + Fy)/2 = Py

(-4 + Fy)/2 = -2

-4 + Fy = -4

Fy = 0