Examples

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

Step 1

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

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Step 1.1

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

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

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $3$ .

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Step 1.2.1.1

Cancel the common factor.

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

Step 1.2.1.2

Divide $y$ by $1$ .

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

Step 2

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

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

Step 3

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

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

Step 4

Set the numerator equal to zero.

$k = 0$

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