Pre-Algebra Examples

$4 x - 9 y = 5$

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

Subtract $4 x$ from both sides of the equation.

$- 9 y = 5 - 4 x$

Step 1.3

Divide each term in $- 9 y = 5 - 4 x$ by $- 9$ and simplify.

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Step 1.3.1

Divide each term in $- 9 y = 5 - 4 x$ by $- 9$ .

$\frac{- 9 y}{- 9} = \frac{5}{- 9} + \frac{- 4 x}{- 9}$

Step 1.3.2

Simplify the left side.

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Step 1.3.2.1

Cancel the common factor of $- 9$ .

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Step 1.3.2.1.1

Cancel the common factor.

$\frac{- 9 y}{- 9} = \frac{5}{- 9} + \frac{- 4 x}{- 9}$

Step 1.3.2.1.2

Divide $y$ by $1$ .

$y = \frac{5}{- 9} + \frac{- 4 x}{- 9}$

Step 1.3.3

Simplify the right side.

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Step 1.3.3.1

Simplify each term.

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Step 1.3.3.1.1

Move the negative in front of the fraction.

$y = - \frac{5}{9} + \frac{- 4 x}{- 9}$

Step 1.3.3.1.2

Dividing two negative values results in a positive value.

$y = - \frac{5}{9} + \frac{4 x}{9}$

Step 1.4

Write in $y = m x + b$ form.

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Step 1.4.1

Reorder $- \frac{5}{9}$ and $\frac{4 x}{9}$ .

$y = \frac{4 x}{9} - \frac{5}{9}$

Step 1.4.2

Reorder terms.

$y = \frac{4}{9} x - \frac{5}{9}$

Step 2

Using the slope-intercept form, the slope is $\frac{4}{9}$ .

$m = \frac{4}{9}$

Step 3