Pre-Algebra Examples

$9 x = 2 y - 4$

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 $2 y - 4 = 9 x$ .

$2 y - 4 = 9 x$

Step 1.3

Add $4$ to both sides of the equation.

$2 y = 9 x + 4$

Step 1.4

Divide each term in $2 y = 9 x + 4$ by $2$ and simplify.

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Step 1.4.1

Divide each term in $2 y = 9 x + 4$ by $2$ .

$\frac{2 y}{2} = \frac{9 x}{2} + \frac{4}{2}$

Step 1.4.2

Simplify the left side.

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Step 1.4.2.1

Cancel the common factor of $2$ .

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Step 1.4.2.1.1

Cancel the common factor.

$\frac{2 y}{2} = \frac{9 x}{2} + \frac{4}{2}$

Step 1.4.2.1.2

Divide $y$ by $1$ .

$y = \frac{9 x}{2} + \frac{4}{2}$

Step 1.4.3

Simplify the right side.

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Step 1.4.3.1

Divide $4$ by $2$ .

$y = \frac{9 x}{2} + 2$

Step 1.5

Reorder terms.

$y = \frac{9}{2} x + 2$

Step 2

Using the slope-intercept form, the slope is $\frac{9}{2}$ .

$m = \frac{9}{2}$

Step 3