Algebra Examples

$4 k x + 6 = y$ , $m = 9$

Rewrite the equation as $y = 4 k x + 6$ .

$y = 4 k x + 6$

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

$m = 4 k$

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

$9 = 4 k$

Rewrite the equation as $4 k = 9$ .

$4 k = 9$

Divide each term by $4$ and simplify.

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Divide each term in $4 k = 9$ by $4$ .

$\frac{4 k}{4} = \frac{9}{4}$

Cancel the common factor of $4$ .

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Cancel the common factor.

$\frac{4 k}{4} = \frac{9}{4}$

Divide $k$ by $1$ .

$k = \frac{9}{4}$

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