Algebra Examples

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

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

Subtract $x$ from both sides of the equation.

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

Step 2.2

Divide each term in $- y = \frac{1}{5} - x$ by $- 1$ and simplify.

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Step 2.2.1

Divide each term in $- y = \frac{1}{5} - x$ by $- 1$ .

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

Step 2.2.2

Simplify the left side.

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Step 2.2.2.1

Dividing two negative values results in a positive value.

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

Step 2.2.2.2

Divide $y$ by $1$ .

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

Step 2.2.3

Simplify the right side.

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Step 2.2.3.1

Simplify each term.

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Step 2.2.3.1.1

Move the negative one from the denominator of $\frac{\frac{1}{5}}{- 1}$ .

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

Step 2.2.3.1.2

Rewrite $- 1 \cdot \frac{1}{5}$ as $- \frac{1}{5}$ .

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

Step 2.2.3.1.3

Dividing two negative values results in a positive value.

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

Step 2.2.3.1.4

Divide $x$ by $1$ .

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

Step 2.3

Reorder $- \frac{1}{5}$ and $x$ .

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