How do you write an equation for the direct variation that includes the given point: (7, -2)?

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How do you write an equation for the direct variation that includes the given point: (7, -2)?

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Answer 1 · 2017-06-17T09:32:56

$y = - \frac{2}{7} x$ $y=-2/7x$

Explanation:

$the initial statement is y \propto x$ $"the initial statement is " ypropx$

$to convert to an equation multiply by k the constant$ $"to convert to an equation multiply by k the constant"$
$of variation$ $"of variation"$

$\Rightarrow y = k x$ $rArry=kx$

$use the given point (7, - 2) to find k$ $"use the given point " (7,-2)" to find k"$

$y = k x \Rightarrow k = \frac{y}{x} = \frac{- 2}{7} = - \frac{2}{7}$ $y=kxrArrk=y/x=(-2)/7=-2/7$

$"the equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=-2/7x)color(white)(2/2)|)))$

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How do you write an equation for the direct variation that includes the given point: (7, -2)?

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