Write the standard form of the equation of a line if the point on the line nearest to the origin is at (6, 8).

Question

Write the standard form of the equation of a line if the point on the line nearest to the origin is at (6, 8).

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29 mins 2021-09-14T23:41:50+00:00 1 Answer 0

Answers ( )

  1. Emma
    0
    2021-09-14T23:43:49+00:00

    Answer:

    \large\boxed{y=\dfrac{4}{3}x}

    Step-by-step explanation:

    The line passes through the origin has an equation y = mx

    m – slope

    The formula of a slope of a line passes through the origin

    and a point (x, y):

    m=\dfrac{y}{x}

    We have the point (6, 8). Substitute:

    m=\dfrac{8}{6}=\dfrac{8:2}{6:2}=\dfrac{4}{3}

    Finally:

    y=\dfrac{4}{3}x

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