Identity whether the following points are collinear . (2 , 3 ) (4 , 7 ) (8 , 11 )

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Identity whether the following points are collinear . (2 , 3 ) (4 , 7 ) (8 , 11 )

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Latifah 4 years 2021-08-22T02:33:55+00:00 1 Answers 15 views 0

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  1. Farah
    0
    2021-08-22T02:35:30+00:00
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    Answer:

    not collinear points

    Step-by-step explanation:

    If the points are collinear ( lie on the same line ) then the slopes between adjacent points will be equal.

    Calculate the slope m using the slope formula

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

    with (x₁, y₁ ) = (2, 3) and (x₂, y₂ ) = (4, 7)

    m = \frac{7-3}{4-2} = \frac{4}{2} = 2

    Repeat with (x₁, y₁ ) = (4, 7) and (x₂, y₂ ) = (8, 11)

    m = \frac{11-7}{8-4} = \frac{4}{4} = 1

    Since the slopes are not equal then the points are not collinear

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