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Examples

3 y = k x

$3 y = k x$ ,

m = 0

$m = 0$

Step 1

Divide each term in

3 y = k x

$3 y = k x$ by

3

$3$ and simplify.

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Step 1.1

Divide each term in

3 y = k x

$3 y = k x$ by

3

$3$ .

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

$3$ .

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Step 1.2.1.1

Cancel the common factor.

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

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

Step 1.2.1.2

Divide

y

$y$ by

1

$1$ .

y = \frac{k x}{3}

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

y = \frac{k x}{3}

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

y = \frac{k x}{3}

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

y = \frac{k x}{3}

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

Step 2

Find the slope of the equation in terms of

k

$k$ using the slope-intercept form.

m = \frac{k}{3}

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

Step 3

Set the known value of

m

$m$ equal to the slope of the equation in terms of

k

$k$ .

0 = \frac{k}{3}

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

Step 4

Set the numerator equal to zero.

k = 0

$k = 0$

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[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$