Precalculus Examples

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

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 left side.

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Step 2.1.1

Multiply $- 1$ by $- 1$ .

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

Step 2.2

Simplify the right side.

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Step 2.2.1

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

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Step 2.2.1.1

Apply the distributive property.

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

Step 2.2.1.2

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

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

Step 2.2.1.3

Cancel the common factor of $7$ .

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Step 2.2.1.3.1

Factor $7$ out of $- 7$ .

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

Step 2.2.1.3.2

Cancel the common factor.

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

Step 2.2.1.3.3

Rewrite the expression.

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

Step 2.3

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

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Step 2.3.1

Subtract $1$ from both sides of the equation.

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

Step 2.3.2

Subtract $1$ from $- 1$ .

$y = \frac{x}{7} - 2$

Step 2.4

Reorder terms.

$y = \frac{1}{7} x - 2$