Pre-Algebra Examples

$5 y = 25 x + 30$

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

Divide each term in $5 y = 25 x + 30$ by $5$ and simplify.

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Step 1.2.1

Divide each term in $5 y = 25 x + 30$ by $5$ .

$\frac{5 y}{5} = \frac{25 x}{5} + \frac{30}{5}$

Step 1.2.2

Simplify the left side.

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Step 1.2.2.1

Cancel the common factor of $5$ .

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Step 1.2.2.1.1

Cancel the common factor.

$\frac{5 y}{5} = \frac{25 x}{5} + \frac{30}{5}$

Step 1.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{25 x}{5} + \frac{30}{5}$

Step 1.2.3

Simplify the right side.

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Step 1.2.3.1

Simplify each term.

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Step 1.2.3.1.1

Cancel the common factor of $25$ and $5$ .

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Step 1.2.3.1.1.1

Factor $5$ out of $25 x$ .

$y = \frac{5 (5 x)}{5} + \frac{30}{5}$

Step 1.2.3.1.1.2

Cancel the common factors.

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Step 1.2.3.1.1.2.1

Factor $5$ out of $5$ .

$y = \frac{5 (5 x)}{5 (1)} + \frac{30}{5}$

Step 1.2.3.1.1.2.2

Cancel the common factor.

$y = \frac{5 (5 x)}{5 \cdot 1} + \frac{30}{5}$

Step 1.2.3.1.1.2.3

Rewrite the expression.

$y = \frac{5 x}{1} + \frac{30}{5}$

Step 1.2.3.1.1.2.4

Divide $5 x$ by $1$ .

$y = 5 x + \frac{30}{5}$

Step 1.2.3.1.2

Divide $30$ by $5$ .

$y = 5 x + 6$

Step 2

Using the slope-intercept form, the slope is $5$ .

$m = 5$

Step 3