Which is the equation of the line that contains points (8, 10) and (-4, 2)? y-8=3/2(x-10 ) y-10=3/2(x-8) y-10=2/3(x-8) y-

Question

Which is the equation of the line that contains points (8, 10) and (-4, 2)? y-8=3/2(x-10 ) y-10=3/2(x-8) y-10=2/3(x-8) y-8=2/3(x-10)

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2022-05-14T07:06:59+00:00 2 Answers 0

Answers ( 2 )

  1. Charlotte
    0
    2022-05-14T07:08:42+00:00

    Answer: Third option is correct.n

    Step-by-step explanation:n

    Since we have given that

    Two points are (8,10) and (-4,2)n

    We need to find the equation of line that contains the above points.n

    We will use “Two point slope form”:n

    [tex]y-y_1=dfrac{y_2-y_1}{x_2-x_1}(x-x_1})y-10=dfrac{2-10}{-4-8}(x-8)y-10=frac{-8}{-12}(x-8)y-10=dfrac{2}{3}(x-8)[/tex]n

    Hence, our required equation of line would be

    [tex]y-10=dfrac{2}{3}(x-8)[/tex]n

    Therefore, Third option is correct.

  2. Raelynn
    0
    2022-05-14T07:08:50+00:00

    y-10=2/3(x-8)

    This is because the slope is 2/3 and the point (8, 10) would be used properly here.

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