Pre-Algebra Examples

$y + 5 = \frac{1}{4} \cdot (x - 8)$

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

Simplify the right side.

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Step 1.2.1

Simplify $\frac{1}{4} \cdot (x - 8)$ .

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Step 1.2.1.1

Apply the distributive property.

$y + 5 = \frac{1}{4} x + \frac{1}{4} \cdot - 8$

Step 1.2.1.2

Combine $\frac{1}{4}$ and $x$ .

$y + 5 = \frac{x}{4} + \frac{1}{4} \cdot - 8$

Step 1.2.1.3

Cancel the common factor of $4$ .

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Step 1.2.1.3.1

Factor $4$ out of $- 8$ .

$y + 5 = \frac{x}{4} + \frac{1}{4} \cdot (4 (- 2))$

Step 1.2.1.3.2

Cancel the common factor.

$y + 5 = \frac{x}{4} + \frac{1}{4} \cdot (4 \cdot - 2)$

Step 1.2.1.3.3

Rewrite the expression.

$y + 5 = \frac{x}{4} - 2$

Step 1.3

Move all terms not containing $y$ to the right side of the equation.

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Step 1.3.1

Subtract $5$ from both sides of the equation.

$y = \frac{x}{4} - 2 - 5$

Step 1.3.2

Subtract $5$ from $- 2$ .

$y = \frac{x}{4} - 7$

Step 1.4

Reorder terms.

$y = \frac{1}{4} x - 7$

Step 2

Using the slope-intercept form, the slope is $\frac{1}{4}$ .

$m = \frac{1}{4}$

Step 3