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How do you find the value x or y so that the line through the points has the given slope?

Please help me with this! The points are:

(-7, 18) and (5, y); the slope is -2

Also can you please explain to me how this problem is solved since I have to do more of these? Thanks!

2 Answers

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  • Robin
    Lv 4
    8 years ago
    Favorite Answer

    You are given 2 points (x1, y1), (x2, y2)

    the formula of a slope:

    m = (y1 - y2)/(x1 - x2)

    -2 = (18 - y)/(-7 - 5)

    -2(-12) = (18 - y)

    24 = 18 - y

    y = -6

  • 8 years ago

    In terms of y, the slope of the line passing through (-7, 18) and (5, y) is:

    m = ∆y/∆x = (y - 18)/[5 - (-7)] = (y - 18)/12.

    We want the line to have a slope of -2, so equating yields:

    (y - 18)/12 = -2 ==> y = -6.

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