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Given that y varies directly with x, and x = 28, y = -4, how do you write a direct variation equation that relates x and y?

1 Answer

May 11, 2016

$y = \frac{- x}{7}$ $y = (-x)/7$

Explanation:

Write a direct proportion, turn it into an equation, find the constant and you will have an equation connecting $x and y$ $x and y$ .

$y \propto x \Rightarrow y = k x multiply by a constant$ $y prop x " " rArr y = kx " multiply by a constant"$

$k = \frac{y}{x} \Rightarrow k = - \frac{4}{28} = - \frac{1}{7}$ $k = y/x " rArr k = -4/28 = -1/7$

$:. y = (-1x)/7 " or " y = (-x)/7$

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