Finite Math Examples

$8 x = 5 y + 9$

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 $5 y + 9 = 8 x$ .

$5 y + 9 = 8 x$

Step 2.2

Subtract $9$ from both sides of the equation.

$5 y = 8 x - 9$

Step 2.3

Divide each term in $5 y = 8 x - 9$ by $5$ and simplify.

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Step 2.3.1

Divide each term in $5 y = 8 x - 9$ by $5$ .

$\frac{5 y}{5} = \frac{8 x}{5} + \frac{- 9}{5}$

Step 2.3.2

Simplify the left side.

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Step 2.3.2.1

Cancel the common factor of $5$ .

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Step 2.3.2.1.1

Cancel the common factor.

$\frac{5 y}{5} = \frac{8 x}{5} + \frac{- 9}{5}$

Step 2.3.2.1.2

Divide $y$ by $1$ .

$y = \frac{8 x}{5} + \frac{- 9}{5}$

Step 2.3.3

Simplify the right side.

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Step 2.3.3.1

Move the negative in front of the fraction.

$y = \frac{8 x}{5} - \frac{9}{5}$

Step 2.4

Reorder terms.

$y = \frac{8}{5} x - \frac{9}{5}$