Find the Constant Using Slope 3y=kx , m=0

$3 y = k x$ , $m = 0$

Divide each term in $3 y = k x$ by $3$ and simplify.

Divide each term in $3 y = k x$ by $3$ .

$\frac{3 y}{3} = \frac{k x}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 y}{3} = \frac{k x}{3}$

Divide $y$ by $1$ .

$y = \frac{k x}{3}$

Find the slope of the equation in terms of $k$ using the slope-intercept form.

$m = \frac{k}{3}$

Set the known value of $m$ equal to the slope of the equation in terms of $k$ .

$0 = \frac{k}{3}$

Set the numerator equal to zero.

$k = 0$