Could someone help me with finding an equation of the line containing the given pair of points (3,2) and (9,7)

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asked by Pam
  1. (y-2)/(x-3) = (7-2)/(9-3)

    y-2 = 5/6 (x-3)

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    posted by Steve
  2. First, find the slope using the formula y2-y1/x2-x1.

    7 - 2/9 - 3

    5 / 6---> slope

    Use point-slope form: y - y1 = m (x - x1)

    Use any one point:

    y - 2 = 5/6 (x - 3)

    Distributive property:

    y - 2 = 5/6x - 15/6

    Add 2 to each side:

    y = 5/6x - 15/6 + 2/1

    y = 5/6x - 1/2

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