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Math Help - need help please with midpoint

  1. #1
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    need help please with midpoint

    Find the midpoint of the line segment from A(2, 9) to B(4, 5).
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  2. #2
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    Quote Originally Posted by bobby77 View Post
    Find the midpoint of the line segment from A(2, 9) to B(4, 5).
    The midpoint formula is the (average of the x's, the average of the y's).

    In this case: ((2 + 4)/2, (9 + 5)/2)

    Therefore,

    (6/2, 14/2)

    Simplified: (3, 7).
    Last edited by AfterShock; October 20th 2006 at 09:30 AM. Reason: Error in Addition.
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  3. #3
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    Quote Originally Posted by bobby77 View Post
    Find the midpoint of the line segment from A(2, 9) to B(4, 5).
    Hi,

    the coordinates of the midpoint are the average values of the two x-values and the two y-values.

    Given points: P_1(x_1, y_1), P_2(x_2, y_2)

    The the midpoint is M \left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} \right)

    In your case M(3, 7)

    EB
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  4. #4
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    Hello, Bobby77!

    You could baby-talk your way through this one . . .


    Find the midpoint of the line segment from A(2, 9) to B(4, 5).

    To travel from A(2,9) to B(4,5),
    . . we must move 2 units to the right and 4 units down.

    To travel halfway to B,
    . . we must move 1 unit to the right and 2 units down.

    This places us at: (2 + 1,\,9 - 2) \:=\:(3,7)

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