Algebra Examples

$3 y - 6 = k x$ , $m = 3$

Add $6$ to both sides of the equation.

$3 y = k x + 6$

Divide each term by $3$ and simplify.

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Divide each term in $3 y = k x + 6$ by $3$ .

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

Cancel the common factor of $3$ .

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Cancel the common factor.

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

Divide $y$ by $1$ .

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

Divide $6$ by $3$ .

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

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 $k$ .

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

Rewrite the equation as $\frac{k}{3} = 3$ .

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

Multiply both sides of the equation by $3$ .

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

Simplify both sides of the equation.

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Cancel the common factor of $3$ .

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Cancel the common factor.

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

Rewrite the expression.

$k = 3 \cdot 3$

Multiply $3$ by $3$ .

$k = 9$

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