Prove that the points A (-3,-1), B(6,5) and C (3,3) are collineas

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Prove that the points A (-3,-1), B(6,5) and C (3,3) are collineas

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Kim Cúc 5 years 2021-08-31T12:15:12+00:00 2 Answers 10 views 0

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  1. thuhuong
    0
    2021-08-31T12:16:20+00:00
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    Answer:

    nose porque está en una idioma que no se

  2. Dau
    0
    2021-08-31T12:16:31+00:00
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    Answer:

    see explanation

    Step-by-step explanation:

    To show the points are collinear, that is lie on the same line.

    Then the slope between A and B, B and C must be equal

    Calculate slope m using the slope formula

    m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }

    with (x₁, y₁ ) = A(- 3, – 1) and (x₂, y₂ ) = B(6, 5)

    m_{AB} = \frac{5+1}{6+3} = \frac{6}{9} = \frac{2}{3}

    Repeat with (x₁, y₁ ) = B(6, 5) and (x₂, y₂ ) = C(3, 3)

    m_{BC} = \frac{3-5}{3-6} = \frac{-2}{-3} = \frac{2}{3}

    Since the slope between the 2 segments are equal and there is a common point B.

    Then the points A, B and C are collinear

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