Pre-Algebra Examples

$8 x = 3 y + 9$

Step 1

Rewrite in slope-intercept form.

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Step 1.1

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 1.2

Rewrite the equation as $3 y + 9 = 8 x$ .

$3 y + 9 = 8 x$

Step 1.3

Subtract $9$ from both sides of the equation.

$3 y = 8 x - 9$

Step 1.4

Divide each term in $3 y = 8 x - 9$ by $3$ and simplify.

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Step 1.4.1

Divide each term in $3 y = 8 x - 9$ by $3$ .

$\frac{3 y}{3} = \frac{8 x}{3} + \frac{- 9}{3}$

Step 1.4.2

Simplify the left side.

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Step 1.4.2.1

Cancel the common factor of $3$ .

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Step 1.4.2.1.1

Cancel the common factor.

$\frac{3 y}{3} = \frac{8 x}{3} + \frac{- 9}{3}$

Step 1.4.2.1.2

Divide $y$ by $1$ .

$y = \frac{8 x}{3} + \frac{- 9}{3}$

Step 1.4.3

Simplify the right side.

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Step 1.4.3.1

Divide $- 9$ by $3$ .

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

Step 1.5

Reorder terms.

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

Step 2

Using the slope-intercept form, the slope is $\frac{8}{3}$ .

$m = \frac{8}{3}$

Step 3