Algebra Examples

$3 y - 24 = x$

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

Add $24$ to both sides of the equation.

$3 y = x + 24$

Step 2.2

Divide each term in $3 y = x + 24$ by $3$ and simplify.

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Step 2.2.1

Divide each term in $3 y = x + 24$ by $3$ .

$\frac{3 y}{3} = \frac{x}{3} + \frac{24}{3}$

Step 2.2.2

Simplify the left side.

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Step 2.2.2.1

Cancel the common factor of $3$ .

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Step 2.2.2.1.1

Cancel the common factor.

$\frac{3 y}{3} = \frac{x}{3} + \frac{24}{3}$

Step 2.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{x}{3} + \frac{24}{3}$

Step 2.2.3

Simplify the right side.

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Step 2.2.3.1

Divide $24$ by $3$ .

$y = \frac{x}{3} + 8$

Step 2.3

Reorder terms.

$y = \frac{1}{3} x + 8$