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")#