Pre-Algebra Examples

$y = \frac{1}{5} - 2$

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 $\frac{1}{5} - 2$ .

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Step 1.2.1.1

To write $- 2$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$y = \frac{1}{5} - 2 \cdot \frac{5}{5}$

Step 1.2.1.2

Combine $- 2$ and $\frac{5}{5}$ .

$y = \frac{1}{5} + \frac{- 2 \cdot 5}{5}$

Step 1.2.1.3

Combine the numerators over the common denominator.

$y = \frac{1 - 2 \cdot 5}{5}$

Step 1.2.1.4

Simplify the numerator.

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Step 1.2.1.4.1

Multiply $- 2$ by $5$ .

$y = \frac{1 - 10}{5}$

Step 1.2.1.4.2

Subtract $10$ from $1$ .

$y = \frac{- 9}{5}$

Step 1.2.1.5

Move the negative in front of the fraction.

$y = - \frac{9}{5}$

Step 2

Using the slope-intercept form, the slope is $0$ .

$m = 0$

Step 3