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11. The midpoint of is E(–1, 0). One endpoint is C(5, 2). What are the coordinates of the other endpoint?

can someone please explain how to do this problem

  • math -

    For the x-coordinate,
    C is 6 units to the right of E

    For the y-coordinate,
    C is 2 units above E

    So, since E is the midpoint, the other endpoint is
    6 to the left and 2 below E, or (-7,-2)

    Algebraically, you know that if the ends are C and D,

    (Cx+Dx)/2 = Ex
    (Cy+Dy)/2 = Ey, so

    (5+Dx)/2 = -1
    (2+Dy)/2 = 0

    5+Dx = -2
    Dx = -7

    2+Dy = 0
    Dy = -2

    as shown above

  • math -

    thank you

  • math -

    did you use the midpoint formula

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