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Math Help - analytic geometry

  1. #1
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    analytic geometry

    i need to find the distance between these two points on a graph (1,3) and (-2,7)

    its a multiple choise question and the options are, sqrt of 5, 25,7 and 5

    soely on instinct, i beleive the awnser is 7, but i don't actuallyk now the formula to check it. so any help would be much appreciated.
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  2. #2
    Super Member craig's Avatar
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    Call the points (a, b) and (c, d).

    The distance between the points is simply \sqrt{(c-a)^2+(d-b)^2}.

    This is just pythagoras, making a right angle triangle and finding the lenght of the hypotenuse.

    Hope this helps

    Craig
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  3. #3
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    Quote Originally Posted by 14041471 View Post
    i need to find the distance between these two points on a graph (1,3) and (-2,7)

    its a multiple choise question and the options are, sqrt of 5, 25,7 and 5

    soely on instinct, i beleive the awnser is 7, but i don't actuallyk now the formula to check it. so any help would be much appreciated.
    USe the distance formula: sqrt{(x2-x1)^2+(y2-y1)^2}
    sqrt{(-2-1)^2+(7-3)^2}
    sqrr{9+16)
    5: the answer is 5
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