does the equation 4x-3y=0 represent direct variation? if so, identify the constant of variation

Question

does the equation 4x-3y=0 represent direct variation? if so, identify the constant of variation

Answer 1

For something to reflect direct variation, you must be able to write it in the form of y=kx, where k is not a variable, but rather some number.  There can't be any "+ number" attached at the end.

 

We can easily rearrange your equation as follows:

 

• 4x-3y=0
• 3y=4x
• y=4x/3, or rather y = (4/3)*x
• k thus equals 4/3, and that is your constant of variation.
• Answers: Yes, direct variation, k=4/3