Is #-x+2y=0# a direct variation equation and if so what is the constant?

2 Answers
Oct 4, 2016

#k# is #1/2# which is the constant of variation.

Explanation:

Direct Variation is in in the #y=kx#, where #k# is the constant of variation.

We need to solve for the #y# variable.

#-x+2y=0#

Add #x# to both sides

#2y=0+x#

#2y=x#

Divide by #2# to isolate #y#

#cancel2y/cancel2=x/2#

#y=1/2x#

#k# is #1/2# which is the constant of variation.

Oct 4, 2016

Yes, it is a direct variation equation, and the constant of variation is #1/2#.

Explanation:

The general form of a direct variation equation is #y = kx#, with k being the constant of variation.
#-x + 2y = 0# can be transformed to fit the correct form:
#-x + x + 2y = 0 + x#
#2y = x#
#(2y)/2 = x/2#
#y = 1/2x#
Therefore, it is a direct variation equation and #k = 1/2#.