Find the midpoint of the line segment with end coordinates of: ( 4 , − 2 ) and ( 2 , − 10

Question

Find the midpoint of the line segment with end coordinates of: ( 4 , − 2 ) and ( 2 , − 10

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Nevaeh 2 weeks 2021-10-05T19:13:54+00:00 1 Answer 0

Answers ( )

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    2021-10-05T19:15:16+00:00

    The given line segment’s midpoint is  (3,-6)

    Step-by-step explanation:

    Step 1 :

    Let A be the point (4,-2) and B be the point (2,-10)

    We need to obtain the midpoint of AB

    Let M (x,y) be the Midpoint.

    Step 2 :

    The x co-ordinate of a line segment’s midpoint obtained by adding the x co-ordinate of its end point and dividing by 2.  

    The y co-ordinate of a line segment’s midpoint obtained by adding the y co-ordinate of its end point and dividing by 2.

    So we have x = (4 + 2) ÷ 2 = 3

    y = (-2 – 10) ÷ 2 = -6

    Hence M = (3,-6)

    Step 3 :

    Answer :

    The given line segment’s midpoint is  (3,-6)

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