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Math Help - find slope

  1. #1
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    find slope

    Heyy, i need you guys' help on this too

    xy coordinate plane graph x=y^2-4 intersects L at (0,p) and (5,t) What is the greatest possible value of slope L?
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  2. #2
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    Quote Originally Posted by fabxx View Post
    Heyy, i need you guys' help on this too

    xy coordinate plane graph x=y^2-4 intersects L at (0,p) and (5,t) What is the greatest possible value of slope L?
    The x = y^2 -4 is a horizontal parabola that opens to the right. Its vertex is at (-4,0).

    The line L intersects the parabola at (0,p) and (5,t).

    Point (0,p) is (0,2) or (0,-2).
    Point (5,t) is (5,3) or (5,-3).

    There are only two possible L with positive slope.
    The L with the greatest possible value of slope is the L that passes through (0,-2) and (5,3)
    m = (-2 -3) / (0 -5) = 1

    Check:
    The slope of the L that passes through ((0,2) and (5,3) is
    m = (2 -3) / (0 -5) = 1/5 --------less than the 1 of the L above.

    The L that passes through (0,2) and (5,-3) has a negative value slope.
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