Question

How do you determine the constant of variation for the direct variation given `2x - y=0`?

Answer 1

`k=2`

Explanation:

The constant of variation '`k`' for a direct variation is equal to `y` over `x`:

`k=y/x`

Here is the solution for the constant of variation, given `2x-y=0`:

`2x-y=0`
`2x-y+y=0+y`
`2x=y`
`(1/x)2x=(1/x)y`
`(1/cancelx)2cancelx=(1/x)y`
`2=y/x`

`color(blue)(2=y/x=k)`

The constant of variation is 2.