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Math Help - coordinate problem

  1. #1
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    coordinate problem

    the coordinate of the midpoint of a line segement AB are (-2,4) if the coordinate of point A are (7,10) what are the coordinates of B?

    how can i solve this problem i tried using the midpoint formula but it doesnt work
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  2. #2
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    Quote Originally Posted by zelda1850 View Post
    the coordinate of the midpoint of a line segement AB are (-2,4) if the coordinate of point A are (7,10) what are the coordinates of B?

    how can i solve this problem i tried using the midpoint formula but it doesnt work
    Hi zelda,

    the midpoint formula ought to work easily enough.

    You can simply say....

    the x co-ordinate of the midpoint is halfway between the x co-ordinates
    of the points on the line.

    So -2 is halfway between 7 and another x.
    -2 is 9 away from 7.
    The other value 9 away from -2 is -11.

    So -2 is halfway between -11 and 9.

    Also 4 is halfway between 10 and -2

    The other point is (-11,-2).


    Using the midpoint formula, which is

    "the x midpoint is the average of the x values"
    "the y midpoint is the average of the y values".

    \frac{x_1+x_2}{2}=-2

    x_1+x_2=-2(2)=-4

    x_1=-4-x_2=-4-7=-11


    \frac{y_1+y_2}{2}=4

    y_1+y_2=4(2)=8

    y_1=8-y_2=8-10=-2
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