Answer:
M(14, 12)
Explanation:
You want the midpoint of the line segment with end points C(10, 4) and D(18, 20).
Midpoint
The coordinates of a midpoint can be found by averaging the coordinates of the end points. This gives the coordinates of the point halfway between, which is what you want.
M = (C +D)/2
M = ((10, 4) +(18, 20))/2 = (10 +18, 4 +20)/2 = (28, 24)/2
M = (14, 12)
The coordinates of point M are (14, 12).
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Additional comment
You can also find the difference of x-coordinates (18-10=8) and the difference of y-coordinates (20-4=16) and add half those values to the coordinates of point C:
(10, 4) +(8, 16)/2 = (10 +4, 4 +8) = (14, 12) . . . . . same as above
We find computing the average is generally easier.
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