Algebra Examples

$7 y = k x$ , $m = 2$

Divide each term by $7$ and simplify.

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Divide each term in $7 y = k x$ by $7$ .

$\frac{7 y}{7} = \frac{k x}{7}$

Reduce the expression by cancelling the common factors.

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Cancel the common factor.

$\frac{7 y}{7} = \frac{k x}{7}$

Divide $y$ by $1$ to get $y$ .

$y = \frac{k x}{7}$

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

$m = \frac{k}{7}$

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

$2 = \frac{k}{7}$

Rewrite the equation as $\frac{k}{7} = 2$ .

$\frac{k}{7} = 2$

Solve for $k$ .

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Multiply both sides of the equation by $7$ .

$k = 2 \cdot (7)$

Simplify the right side.

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Multiply $2$ by $7$ to get $2 (7)$ .

$k = 2 (7)$

Multiply $2$ by $7$ to get $14$ .

$k = 14$

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