Mira Branch

2023-03-11

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

Eugene Rich

Beginner2023-03-12Added 3 answers

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

$\Rightarrow y=kx$

Step 2

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

$y=kx\Rightarrow k=\frac{y}{x}=\frac{-2}{7}=-\frac{2}{7}$

$\text{the equation is}\phantom{\rule{1ex}{0ex}}{\overline{\underline{\left|{\frac{2}{2}}{y=-\frac{2}{7}x}{\frac{2}{2}}\right|}}}$

$\text{the initial statement is}\phantom{\rule{1ex}{0ex}}y\propto x$

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

$\Rightarrow y=kx$

Step 2

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

$y=kx\Rightarrow k=\frac{y}{x}=\frac{-2}{7}=-\frac{2}{7}$

$\text{the equation is}\phantom{\rule{1ex}{0ex}}{\overline{\underline{\left|{\frac{2}{2}}{y=-\frac{2}{7}x}{\frac{2}{2}}\right|}}}$