Algebra

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find all points having an x-coordinate of 4 whose distance from the point (1,5) is 5

  • Algebra -

    Use the distance formula.

  • Algebra -

    which is?

  • Algebra -

    It should be on your formula sheet if not then look it up.

  • Algebra -

    you know that all points at a distance 5 will form a circle with center at (1,5) and radius 5. So,

    (x-1)^2 + (y-5)^2 = 25

    So, plug in x=4 and you have

    3^2 + (y-5)^2 = 25
    (y-5)^2 = 16
    y-5 = ±4
    y = 9 or 1

    So, the points are (4,9) and (4,1)

  • Algebra -

    Thanks Steve!

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