Pre-Algebra Examples

$y - (- 7) = \frac{1}{7} \cdot (x - (- 7))$

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 left side.

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Step 1.2.1

Multiply $- 1$ by $- 7$ .

$y + 7 = \frac{1}{7} \cdot (x - (- 7))$

Step 1.3

Simplify the right side.

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Step 1.3.1

Simplify $\frac{1}{7} \cdot (x - (- 7))$ .

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Step 1.3.1.1

Multiply $- 1$ by $- 7$ .

$y + 7 = \frac{1}{7} \cdot (x + 7)$

Step 1.3.1.2

Apply the distributive property.

$y + 7 = \frac{1}{7} x + \frac{1}{7} \cdot 7$

Step 1.3.1.3

Combine $\frac{1}{7}$ and $x$ .

$y + 7 = \frac{x}{7} + \frac{1}{7} \cdot 7$

Step 1.3.1.4

Cancel the common factor of $7$ .

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Step 1.3.1.4.1

Cancel the common factor.

$y + 7 = \frac{x}{7} + \frac{1}{7} \cdot 7$

Step 1.3.1.4.2

Rewrite the expression.

$y + 7 = \frac{x}{7} + 1$

Step 1.4

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

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Step 1.4.1

Subtract $7$ from both sides of the equation.

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

Step 1.4.2

Subtract $7$ from $1$ .

$y = \frac{x}{7} - 6$

Step 1.5

Reorder terms.

$y = \frac{1}{7} x - 6$

Step 2

Using the slope-intercept form, the slope is $\frac{1}{7}$ .

$m = \frac{1}{7}$

Step 3