Algebra Examples

$x + 4 = 4 y$

Step 1

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Step 2

Rewrite in slope-intercept form.

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Step 2.1

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

$4 y = x + 4$

Step 2.2

Divide each term in $4 y = x + 4$ by $4$ and simplify.

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Step 2.2.1

Divide each term in $4 y = x + 4$ by $4$ .

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

Step 2.2.2

Simplify the left side.

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Step 2.2.2.1

Cancel the common factor of $4$ .

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Step 2.2.2.1.1

Cancel the common factor.

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

Step 2.2.2.1.2

Divide $y$ by $1$ .

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

Step 2.2.3

Simplify the right side.

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Step 2.2.3.1

Divide $4$ by $4$ .

$y = \frac{x}{4} + 1$

Step 2.3

Reorder terms.

$y = \frac{1}{4} x + 1$