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Math Help - [SOLVED] Coordinates (549)

  1. #1
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    [SOLVED] Coordinates (549)

    In the xy-plane, the center of a circle has coordinates (3, -7). If one endpoint of a diameter of the circle is (-2, -7), what are the coordinates of the other endpoint of this diameter?
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  2. #2
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    (8,-7) (HINT: Look at the y value of the given coordinates)
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  3. #3
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    Is it because both paired coordinates are -7, so the answer is -7? But how did you get the 8 from (8, -7)?
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  4. #4
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    Quote Originally Posted by fabxx View Post
    In the xy-plane, the center of a circle has coordinates (3, -7). If one endpoint of a diameter of the circle is (-2, -7), what are the coordinates of the other endpoint of this diameter?
    Let the co-ordinate of other endpoint be (x_1, y_1)

    Since, diameter connects these two end-points, so the center is midpoint of these two endpoints.

    According to mid point formula,

    (3, -7) = \left(\frac{-2+x_1}{2}, \frac{-7+y_1}{2} \right)

    \Rightarrow x_1=8,\;\;y_1=-7

    Did you get it now???
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