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M(8, 5) is the midpoint of JK. The coordinates of point J are (5, −6) . What are the coordinates of point K?

Answer :

11,16 I believe cause 8-5 is 3 it's increase by 3 8+3 is 11 -6+11 is 5 5+11 is 16
fichoh

The midpoint is the exact middle of a line segment which divides the line into two equal lengths. Hence, the coordinate of K is (11, 16)

We can obtain the distance between the coordinates of JM thus :

Distance = y2 - y1 ; x2 - x1

Distance = (8 - 5) ; (5 - (-6) = (3, 11)

Hence, the change in the coordinates is (3, 11)

Therefore, the coordinates of K can be obtained thus :

(8 + 3) ;(5 + 11) = (11, 16)

Hence, the coordinate of K is (11, 16)

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