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Math Help - Finding constants with difference q.

  1. #1
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    Finding constants with difference q.

    Im having trouble with this one:

    Let f(x)= -3x - 7. Then the expression

    [f(x+h)-f(x)]/h

    can be written in the form Ah+Bx+C, where A, B, and C are constants.

    Find A, B, and C

    Can someone please help me out?

    Thank you!
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  2. #2
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    Quote Originally Posted by jtowery View Post
    Im having trouble with this one:

    Let f(x)= -3x - 7. Then the expression

    [f(x+h)-f(x)]/h

    can be written in the form Ah+Bx+C, where A, B, and C are constants.

    Find A, B, and C

    Can someone please help me out?

    Thank you!
    The expression [f(x+h)-f(x)]/h is the slope of the line.

    f(x)=-3x-7 is linear, the graph of a straight line.

    \frac{y_2-y_1}{x_2-x_1}=[f(x+h)-f(x)]/h

    [f(x+h)-f(x)]/h=\frac{-3(x+h)-7+3x+7}{h}=\frac{-3x-3h+3x}{h}=-3

    A=0, B=0, C=-3.
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  3. #3
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    Awesome. I cannot thank you enough!
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