Question

Determine whether y varies directly with x. If so, find the constant of variation and write the equation.

Answer 1

`yes \: \: k = (1)/(3) \: \: \: y = (1)/(3) x`

Step-by-step explanation

The given line passes through the origin, hence it has equation of the form,

`y = kx`

Therefore y varies directly as x.

The line passes through the point (3,1)

This implies that,

`1= k(3)`

`k= (1)/(3)`

Hence the constant of variation is

`(1)/(3)`

The equation is

`y = (1)/(3) x`