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Algebra Examples

2 y = k x + 4

$2 y = k x + 4$ ,

m = 2

$m = 2$

Step 1

Divide each term in

2 y = k x + 4

$2 y = k x + 4$ by

2

$2$ and simplify.

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Step 1.1

Divide each term in

2 y = k x + 4

$2 y = k x + 4$ by

2

$2$ .

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

$2$ .

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Step 1.2.1.1

Cancel the common factor.

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

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

Step 1.2.1.2

Divide

y

$y$ by

1

$1$ .

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

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

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

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

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

$4$ by

2

$2$ .

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

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

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

$k$ using the slope-intercept form.

m = \frac{k}{2}

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

Step 3

Set the known value of

m

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

k

$k$ .

2 = \frac{k}{2}

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

Step 4

Rewrite the equation as

\frac{k}{2} = 2

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

\frac{k}{2} = 2

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

Step 5

Multiply both sides of the equation by

2

$2$ .

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

$2$ .

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Step 6.1.1.1

Cancel the common factor.

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

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

Step 6.1.1.2

Rewrite the expression.

k = 2 \cdot 2

$k = 2 \cdot 2$

k = 2 \cdot 2

$k = 2 \cdot 2$

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

$2$ by

2

$2$ .

k = 4

$k = 4$

k = 4

$k = 4$

k = 4

$k = 4$

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

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