A direct variation function contains the points (-8,-6) and (12,9) which equation represents the function

Question

A direct variation function contains the points (-8,-6) and (12,9) which equation represents the function

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Gabriella 2 weeks 2021-10-11T20:03:18+00:00 1 Answer 0

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    2021-10-11T20:04:32+00:00

    Answer:

    y = 0.75x

    Step-by-step explanation:

    Given y varies directly as x then the equation relating them is

    y = kx ← k is the constant of variation

    To find k substitute either of the 2 points into the equation

    Using (12, 9 ), then

    k = \frac{y}{x} = \frac{9}{12} = 0.75, so

    y = 0.75x ← equation of variation

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