Does the equation 12y = 3x represent a direct variation? Does the equation 4y = x - 1/5 represent a direction variation? If so, identify the constant of variation.

1 Answer
Jim G.
Feb 1, 2018

#12y=3x" yes "4y=x-1/5" no"#

Explanation:

#"the equation for direct variation is"#

#•color(white)(x)y=kx larr color(blue)"k is the constant of variation"#

#12y=3x" can be expressed as"#

#"divide both sides by 12"#

#(cancel(12) y)/cancel(12)=3/12x#

#rArry=1/4xlarr" in the form "y=kx#

#"with "k=1/4#

#4y=x-1/5" cannot be expressed in this form"#

#"thus does not represent direct variation"#

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