Is $4x - 3y = 0$ a direct variation equation and if so what is the constant?

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Answer 1 · 2016-08-04T15:52:44

The constant of variation is $4/3$

Direct variation is of form $y=kx$ where $k$ is the constant of variation.

Consider the given equation: $" "4x-3y=0$

Add $3y$ to both sides giving:

$4x=3y$

Divide both sides by 3 giving:

$4/3x=y$

Write as $y=4/3x" "$ Now compare to:

$" "y=kx$
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The constant of variation is $4/3$

$color(brown)("In other words, a variation equation of this type is that of a straight line graph")$

Is 4x - 3y = 04x - 3y = 0 a direct variation equation and if so what is the constant?