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Examples

3 y - 6 = k x

$3 y - 6 = k x$ ,

m = 3

$m = 3$

Step 1

Add

6

$6$ to both sides of the equation.

3 y = k x + 6

$3 y = k x + 6$

Step 2

Divide each term in

3 y = k x + 6

$3 y = k x + 6$ by

3

$3$ and simplify.

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Step 2.1

Divide each term in

3 y = k x + 6

$3 y = k x + 6$ by

3

$3$ .

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

$3$ .

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Step 2.2.1.1

Cancel the common factor.

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

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

Step 2.2.1.2

Divide

y

$y$ by

1

$1$ .

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

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

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

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

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

$6$ by

3

$3$ .

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

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

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

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

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

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

Step 3

Find the slope of the equation in terms of

k

$k$ using the slope-intercept form.

m = \frac{k}{3}

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

Step 4

Set the known value of

m

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

k

$k$ .

3 = \frac{k}{3}

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

Step 5

Rewrite the equation as

\frac{k}{3} = 3

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

\frac{k}{3} = 3

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

Step 6

Multiply both sides of the equation by

3

$3$ .

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

$3$ .

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Step 7.1.1.1

Cancel the common factor.

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

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

Step 7.1.1.2

Rewrite the expression.

k = 3 \cdot 3

$k = 3 \cdot 3$

k = 3 \cdot 3

$k = 3 \cdot 3$

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

$3$ by

3

$3$ .

k = 9

$k = 9$

k = 9

$k = 9$

k = 9

$k = 9$

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

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