Dexter Stanton

2023-03-12

Does the equation represent a direct variation and if so, identify the constant of variation?

repicotit48p

The constant of variation is $\frac{3}{5}$
I'll let you decide whether this is a good or bad thing.
Explanation:
We have: $3x+5y=0$
Subtract 3x from both sides
$3x-3x+5y=0-3x$
0+5y=-3x
$5y=-3x$
Divide both sides by 5
$\frac{5}{5}×y=-\frac{3}{5}x$
But $\frac{5}{5}=1$
$y=-\frac{3}{5}x$
If you wish the x to be positive: multiply both sides by (-1)
$-y=+\frac{3}{5}x$
The constant of variation is $\frac{3}{5}$

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