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Math Help - Writing the equation of the line...

  1. #1
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    Writing the equation of the line...

    Hi there can you help me find the equation of the line that has a slope of -4/3 and passes through (-2,5) ?

    Thank you!
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  2. #2
    Member mathemagister's Avatar
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    Quote Originally Posted by PiratePrincess View Post
    Hi there can you help me find the equation of the line that has a slope of -4/3 and passes through (-2,5) ?

    Thank you!
    The formula for the equation of a line knowing 2 points and a slope is:

    y-y_1 = m(x-x_1) where m is the slope and x1 and y1 are the coordinates of the given point.

    Simply substitute:

    y-5 = -\frac{4}{3} (x- (-2)) and clean up if you want. Usually, on AP Calc tests, they recommend you don't waste your time simplifying because they accept this answer.
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  3. #3
    Member integral's Avatar
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    y=ax+b
    a=m=\frac{-4}{3}

    5=\frac{-4}{3}(-2)+b<br />
    5=\frac{8}{3}+b
    b=5-\frac{8}{3}
    b=\frac{7}{3}


    y=\frac{-4}{3}x+\frac{7}{3}


    Just as a different method
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