Calculus

Determine the coordinates of the point on the graph of f(x)=3x^2-7x+4 where the tangent line is parallel to the line 5x+y=3

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  1. line is
    y = -5 x + 3
    so slope = -5 = slope of tangent

    f' = slope = 6 x - 7
    where is that -5?
    6 x - 7 = -5
    6 x = 2
    x = 1/3
    so
    y = 3(1/9) -7(1/3) + 4

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  2. is that 1/9 or 1/3

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  3. 1/9, since it's 3x^2

    don't you read your own equations?

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