Does the line passing through the points (3, 3) and (7, 11) intersect the line passing through the points (5, 8) and (13, 24

Question

Does the line passing through the points (3, 3) and (7, 11) intersect the line passing through the points (5, 8) and (13, 24

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Kim Cúc 7 months 2021-08-05T00:51:48+00:00 1 Answers 5 views 0

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    2021-08-05T00:52:49+00:00

    Answer:

    I understand why you are asking about this Ammaria, these type of questions take a lot of understanding of graphing.  Please feel ok asking me questions 🙂

    Step-by-step explanation:

    we are given two points

    P1 = (3,3)  in the form (x1,y1)

    P2 = (7,11) in the form (x2,y2)

    slope = m

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

    m = (11-3) / (7-3)

    m = 8 / 4

    m = 2

    now use the slope along with one of the given points, either one will work, i’ll use P1 , and put that into the point-slope formula.

    y-3 = 2(x-3)

    y -3 = 2x -6

    y = 2x -3

    So with the above formula we can check to see if the points work by plugging them into the formula.  

    P3 = (5,8)

    8 = 2(5) – 3

    no point 3 does not work so it’s not on the line

    P4 = (13, 24)

    24 = 2(13) – 3

    no point 4 does not work either.

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