on a coordinate plane a line contains the point 2’6 and models a proportional relationship which of the following points are also on the lin

Question

on a coordinate plane a line contains the point 2’6 and models a proportional relationship which of the following points are also on the line

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Minh Khuê 3 weeks 2021-08-25T19:39:00+00:00 1 Answers 0 views 0

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    2021-08-25T19:40:40+00:00

    Given:

    On a coordinate plane a line contains the point (2,6) and models a proportional relationship.

    To find:

    The points which are also on the line.

    Solution:

    The line models a proportional relationship.

    y\propto x

    y=kx            …(i)

    where, k is constant of proportionality.

    Put x=2 and y=6 in the above equation.

    6=k(2)

    Divide both sides by 2.

    \dfrac{6}{2}=k

    k=3

    Put k=3 in equation (i).

    y=3x

    We can say that the point whose y-coordinate is 3 times of its x-coordinate, are the point which are lie on the line.

    For example: (1,3), (3,3), (-1,-3) etc.

    So, the equation of line is y=3x. All the points which satisfy this equation represents the points on the line.

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