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Find the equation of the line that is parallel to the line formed by the equation 3x + 2y = -20 and passes through the point (-24, 12).

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  1. 3x + 2y = -20

    rearrange to make y subject so

    y=-3(x/2)-10

    so the gradient of the line is -3/2

    so the gradient of the new line is -3/2 as it is parallel.

    so the new line is of the form

    y=(-3/2)x + c

    you have two values in the question
    x=24
    y=12

    substitute these to find c.

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    posted by Dr Russ

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