Algebra Examples

$2 y = k x + 4$ , $m = 2$

Divide each term by $2$ and simplify.

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Divide each term in $2 y = k x + 4$ by $2$ .

$\frac{2 y}{2} = \frac{k x}{2} + \frac{4}{2}$

Reduce the expression by cancelling the common factors.

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Cancel the common factor.

$\frac{2 y}{2} = \frac{k x}{2} + \frac{4}{2}$

Divide $y$ by $1$ .

$y = \frac{k x}{2} + \frac{4}{2}$

Divide $4$ by $2$ .

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

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

$m = \frac{k}{2}$

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

$2 = \frac{k}{2}$

Rewrite the equation as $\frac{k}{2} = 2$ .

$\frac{k}{2} = 2$

Multiply both sides of the equation by $2$ .

$2 \cdot \frac{k}{2} = 2 \cdot 2$

Simplify both sides of the equation.

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Simplify the left side.

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Cancel the common factor of $2$ .

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Write $2$ as a fraction with denominator $1$ .

$\frac{2}{1} \cdot \frac{k}{2} = 2 \cdot 2$

Factor out the greatest common factor $2$ .

$\frac{2 \cdot 1}{1} \cdot \frac{k}{2 \cdot 1} = 2 \cdot 2$

Cancel the common factor.

$\frac{2 \cdot 1}{1} \cdot \frac{k}{2 \cdot 1} = 2 \cdot 2$

Rewrite the expression.

$\frac{1}{1} \cdot \frac{k}{1} = 2 \cdot 2$

Simplify.

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Multiply $\frac{1}{1}$ and $\frac{k}{1}$ .

$\frac{k}{1} = 2 \cdot 2$

Divide $k$ by $1$ .

$k = 2 \cdot 2$

Multiply $2$ by $2$ .

$k = 4$

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