Finite Math Examples

$4 y = 9 x + 4 - 2$

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

Simplify the right side.

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Step 2.1.1

Subtract $2$ from $4$ .

$4 y = 9 x + 2$

Step 2.2

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

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Step 2.2.1

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

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

Step 2.2.2

Simplify the left side.

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Step 2.2.2.1

Cancel the common factor of $4$ .

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Step 2.2.2.1.1

Cancel the common factor.

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

Step 2.2.2.1.2

Divide $y$ by $1$ .

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

Step 2.2.3

Simplify the right side.

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Step 2.2.3.1

Cancel the common factor of $2$ and $4$ .

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Step 2.2.3.1.1

Factor $2$ out of $2$ .

$y = \frac{9 x}{4} + \frac{2 (1)}{4}$

Step 2.2.3.1.2

Cancel the common factors.

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Step 2.2.3.1.2.1

Factor $2$ out of $4$ .

$y = \frac{9 x}{4} + \frac{2 \cdot 1}{2 \cdot 2}$

Step 2.2.3.1.2.2

Cancel the common factor.

$y = \frac{9 x}{4} + \frac{2 \cdot 1}{2 \cdot 2}$

Step 2.2.3.1.2.3

Rewrite the expression.

$y = \frac{9 x}{4} + \frac{1}{2}$

Step 2.3

Reorder terms.

$y = \frac{9}{4} x + \frac{1}{2}$