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Math Help - derivatives with a graph

  1. #1
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    derivatives with a graph

    Consider the function and tangent line shown below. Suppose f(6) = 72, f '(6) = 1.5, a = 6, b = 6.2, and c = 5.9.

    im looking for the coordinates of point B and C...i now that the X value for B is 6.2 and C is 5.9...i just dont know where to start to get the y values...please help...
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by mer1988 View Post
    Consider the function and tangent line shown below. Suppose f(6) = 72, f '(6) = 1.5, a = 6, b = 6.2, and c = 5.9.

    im looking for the coordinates of point B and C...i now that the X value for B is 6.2 and C is 5.9...i just dont know where to start to get the y values...please help...
    the points are all on a straight line.

    use the point slope form for the point A(6,72), thus we have:

    y - 72 = 1.5(x - 6)

    solve that for y, that will give you the equation of the line. then you just plug in the x-values for B and C to find their y-values
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