Question

If a line segment has endpoints A(3x + 5, 3y) and B(x − 1, −y), what are the coordinates of the midpoint of AB ?

(x + 3, 2y)
(2x + 3, y)
(2x + 2, y)
(4x + 4, 2y) ...?

Answer 1

You need to use the midpoint formula of (x1+x2)/2,(y1+y2)/2

put in the actual points will look like this. (3x+5+x-1)/2,(3y-y)/2

now solve to get (4x+4)/2,(2y)/2

finish (2x+2,y)

Answer 2

The correct answer is (2x + 2, y).

To solve this,

Mx = 3x + 5 + x − 1 2 = 4x + 4 / 2 = 2x + 2.
MY = 3y + (−y) / 2 = 2y / 2 = y.

These are the coordinates of the midpoint of AB if a line segment has endpoints A(3x + 5, 3y) and B(x − 1, −y).

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