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Examples

$2 y = k x + 4$ ,

$m = 2$

Step 1

Divide each term in

$2 y = k x + 4$ by

$2$ and simplify.

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Step 1.1

Divide each term in

$2 y = k x + 4$ by

$2$ .

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

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of

$2$ .

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Step 1.2.1.1

Cancel the common factor.

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

Step 1.2.1.2

Divide

$y$ by

$1$ .

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

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

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

Step 1.3

Simplify the right side.

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Step 1.3.1

Divide

$4$ by

$2$ .

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

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

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

Step 2

Find the slope of the equation in terms of

$k$ using the slope-intercept form.

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

Step 3

Set the known value of

$m$ equal to the slope of the equation in terms of

$k$ .

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

Step 4

Rewrite the equation as

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

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

Step 5

Multiply both sides of the equation by

$2$ .

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

Step 6

Simplify both sides of the equation.

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Step 6.1

Simplify the left side.

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Step 6.1.1

Cancel the common factor of

$2$ .

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Step 6.1.1.1

Cancel the common factor.

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

Step 6.1.1.2

Rewrite the expression.

$k = 2 \cdot 2$

$k = 2 \cdot 2$

$k = 2 \cdot 2$

Step 6.2

Simplify the right side.

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Step 6.2.1

Multiply

$2$ by

$2$ .

$k = 4$

$k = 4$

$k = 4$

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$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$