Algebra Examples

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

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 right side.

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Step 2.1.1

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

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

Step 2.2

Add $2$ to both sides of the equation.

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

Step 2.3

Divide each term in $- y = \frac{2 x}{5} + 2$ by $- 1$ and simplify.

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Step 2.3.1

Divide each term in $- y = \frac{2 x}{5} + 2$ by $- 1$ .

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

Step 2.3.2

Simplify the left side.

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Step 2.3.2.1

Dividing two negative values results in a positive value.

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

Step 2.3.2.2

Divide $y$ by $1$ .

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

Step 2.3.3

Simplify the right side.

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Step 2.3.3.1

Simplify each term.

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Step 2.3.3.1.1

Move the negative one from the denominator of $\frac{\frac{2 x}{5}}{- 1}$ .

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

Step 2.3.3.1.2

Rewrite $- 1 \cdot \frac{2 x}{5}$ as $- \frac{2 x}{5}$ .

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

Step 2.3.3.1.3

Divide $2$ by $- 1$ .

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

Step 2.4

Write in $y = m x + b$ form.

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Step 2.4.1

Reorder terms.

$y = - (\frac{2}{5} x) - 2$

Step 2.4.2

Remove parentheses.

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