what are the coordinates of the point that is 1/6 of the way from a(14 -1) to b(-4 23)

Question

what are the coordinates of the point that is 1/6 of the way from a(14 -1) to b(-4 23)

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Orla Orla 2 months 2021-07-29T02:35:12+00:00 2 Answers 2 views 0

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    0
    2021-07-29T02:36:33+00:00

    9514 1404 393

    Answer:

      (11, 3)

    Step-by-step explanation:

    That point is …

      P = a + (1/6)(b -a) = (5a +b)/6

      P = (5(14, -1) +(-4, 23))/6 = (70-4, -5+23)/6 = (11, 3)

    The point of interest is (11, 3).

    0
    2021-07-29T02:37:02+00:00

    Answer:

    The coordinates of the point that is 1/6 of the way from a to b is thus (11, 3)

    Step-by-step explanation:

    Let’s look first at the x coordinates of the two given points:  14 and -4.  From 14 to -4 is a decrease of 18.  Similarly, from y = -1 to y = 23 is an increase of 24.

    Starting at a(14, -1) and adding 1/6 of the change in x, which is -18, we get the new x-coordinate 14 + (1/6)(-18), or 14 – 3, or 11.  Similarly, adding 1/6 of the increase in y of 24 yields -1 + 4, or 3.

    The coordinates of the point that is 1/6 of the way from a to b is thus (11, 3)

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