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Examples

$3 y - 6 = k x$ ,

$m = 3$

Step 1

Add

$6$ to both sides of the equation.

$3 y = k x + 6$

Step 2

Divide each term in

$3 y = k x + 6$ by

$3$ and simplify.

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Step 2.1

Divide each term in

$3 y = k x + 6$ by

$3$ .

$\frac{3 y}{3} = \frac{k x}{3} + \frac{6}{3}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of

$3$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{3 y}{3} = \frac{k x}{3} + \frac{6}{3}$

Step 2.2.1.2

Divide

$y$ by

$1$ .

$y = \frac{k x}{3} + \frac{6}{3}$

$y = \frac{k x}{3} + \frac{6}{3}$

$y = \frac{k x}{3} + \frac{6}{3}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide

$6$ by

$3$ .

$y = \frac{k x}{3} + 2$

$y = \frac{k x}{3} + 2$

$y = \frac{k x}{3} + 2$

Step 3

Find the slope of the equation in terms of

$k$ using the slope-intercept form.

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

Step 4

Set the known value of

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

$k$ .

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

Step 5

Rewrite the equation as

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

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

Step 6

Multiply both sides of the equation by

$3$ .

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

Step 7

Simplify both sides of the equation.

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Step 7.1

Simplify the left side.

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Step 7.1.1

Cancel the common factor of

$3$ .

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Step 7.1.1.1

Cancel the common factor.

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

Step 7.1.1.2

Rewrite the expression.

$k = 3 \cdot 3$

$k = 3 \cdot 3$

$k = 3 \cdot 3$

Step 7.2

Simplify the right side.

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Step 7.2.1

Multiply

$3$ by

$3$ .

$k = 9$

$k = 9$

$k = 9$

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