Mira Branch

2023-03-11

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

Eugene Rich

Step 1
$\text{the initial statement is}\phantom{\rule{1ex}{0ex}}y\propto x$
to convert to an equation multiply by k the constant of variation
$⇒y=kx$
Step 2
use the given point " (7,-2) to find k
$y=kx⇒k=\frac{y}{x}=\frac{-2}{7}=-\frac{2}{7}$
$\text{the equation is}\phantom{\rule{1ex}{0ex}}\overline{\underline{|\frac{2}{2}y=-\frac{2}{7}x\frac{2}{2}|}}$

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