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Math Help - The segment connecting A(-10,9) and B(7,-6).....

  1. #1
    Dug
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    Exclamation The segment connecting A(-10,9) and B(7,-6).....

    The segment connecting A(-10,9) and B(7,-6)
    a.) is extended to C so that |BC| = 3/5 |AC|, find the coordinates of C.
    b.) the equation of the perpendicular bisector which is equidistant from pt. A & C.

    Sorry i really don't have a clue on how to solve this.
    My instructor didn't even give any hint/formula.

    Thanks.
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  2. #2
    MHF Contributor

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    Do you know how to find the equation of the line through (-10, 9) and (7, -6) (may be called the "two point formula" in your text)? Obviously C must satisfy that equation so you can substitue x and y= that formula into the formula for the distance from (7, -6) to (x, y) and from (-10, 9) to (x, y). Put those into the equation "|BC|= 3/5|AC|" and you will have an equation in x to solve.

    Do you know how to find the midpoint of the segment between (-10, 9) and (7, -6)? Do you know the relationship between the slopes of two perpendicular lines? Do you know how to find the equation of a line through a given point with given slope (may be called the "point slope formula" in your text)?
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