Question

determine weather y varies directly with x. if so, find the constant variation and write the equation

Answer 1

Yes, k = 1/3 and y = 1/3x

Explanation:

`\text{The given line passes through the origin, hence it has equation of the form:}\\y=kx`

`\text{Therefore y varies directly as x.}The line passes through the point (3,1)}`

`\text{This implies that,}`

`1=k(3)\\k=(1)/(3)`
`\text{Hence the constant of variation is}` ⇒
`(1)/(3)`

The equation would be ⇒
`y=(1)/(3) x`