Examples

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

Step 1

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

$y = 4 k x + 6$

Step 2

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

$m = 4 k$

Step 3

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

$9 = 4 k$

Step 4

Rewrite the equation as $4 k = 9$ .

$4 k = 9$

Step 5

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

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Step 5.1

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

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

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $4$ .

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Step 5.2.1.1

Cancel the common factor.

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

Step 5.2.1.2

Divide $k$ by $1$ .

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

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