Math question?

Find k so that the line containing points (-3,k) and (6,6) is parallel to the line containing the points (5,5) and (1,-2)

How do I find k???

7 Answers

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  • 2 weeks ago

    slope of the line passing (5,5) and (1,-2)

    m = (y1 - y2) / (x1 - x2)  =  (5 + 2) / (5 - 1) = 7/4

     slope of the line passing  (-3,k) and (6,6)

    m = 7/4 = (k - 6) / (-3-6)

    7 (-9) = 4 (k-6)

    - 63 = 4k - 24

    4k = - -39

    k = -39/4

  • David
    Lv 7
    2 weeks ago

    Slope of points:(5, 5) and (1, -2) = 7/4

    Slope of parallel points: (-3, k) and (6, 6) = 7/4

    If: (k-6)/(-3-6) = 7/4 

    Then: k = -39/4 or -9.75

    Check: (-9.75-6)/(-3-6) = 7/4

  • ?
    Lv 7
    2 weeks ago

    The line containing the points (5,5) and (1,-2) has slope

    ..............5 - (-2).....7

    .....m₁ = ---------- = ---

    ..............5 - 1.........4

    The parallel line passing through (-3,k) and (6,6) must have

    slope equal to m₁

    .....m = m₁

    .....k-6......7

    .....----- = ----

    .....-3-6.....4

    4k - 24 = -21 - 42

    4k = -39

    ......-39

    k = ----

    ........4

    k = -9.75...............ANS

  • 2 weeks ago

    (6 - k)/(6 - -3) = (-2 - 5)/(1 - 5)

    (6 - k)/9 = -7/-4

    -4(6 - k) = 9(-7)

    -24 + 4k = -63

    4k = -39

    k = -39/4

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  • 2 weeks ago

    You need

    (5 - (-2))/(5 - 1) = (6 - k)/(6 - (-3)) =>

    7/4 = (6-k)/9 =>

    6 - k = 63/4 =>

    k = 6 - 63/4 = (24-63)/4 = -39/4 = -9.75.

    Check my arithmetic

  • Como
    Lv 7
    2 weeks ago

    :-

    m = (-7) / (-4) = 7/4

    (6 - k) / 9 = 7/4

    24 - 4k = 63

    - 39 = 4k

    k = - 39/4

  • 2 weeks ago

    Parallel means the slopes are the same

    find the slope for (5,5) and (1,-2)

    Slope = (5+2)/(5-1) 7/4

    then make the slope the same for (-3,k) and (6,6)

    7/4 = (k-6)/(-3-6)

    solve and you have the value for k

    • Anonymous2 weeks agoReport

      Thanks!!! I think the answer being a fraction/decimal totally threw me off. I thought I was doing it wrong haha thank you!!

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