Algebra Examples

$y + 4 = - \frac{1}{2} \cdot (x + 2)$

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

Simplify $- \frac{1}{2} \cdot (x + 2)$ .

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Step 2.1.1.1

Apply the distributive property.

$y + 4 = - \frac{1}{2} x - \frac{1}{2} \cdot 2$

Step 2.1.1.2

Combine $x$ and $\frac{1}{2}$ .

$y + 4 = - \frac{x}{2} - \frac{1}{2} \cdot 2$

Step 2.1.1.3

Cancel the common factor of $2$ .

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Step 2.1.1.3.1

Move the leading negative in $- \frac{1}{2}$ into the numerator.

$y + 4 = - \frac{x}{2} + \frac{- 1}{2} \cdot 2$

Step 2.1.1.3.2

Cancel the common factor.

$y + 4 = - \frac{x}{2} + \frac{- 1}{2} \cdot 2$

Step 2.1.1.3.3

Rewrite the expression.

$y + 4 = - \frac{x}{2} - 1$

Step 2.2

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

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Step 2.2.1

Subtract $4$ from both sides of the equation.

$y = - \frac{x}{2} - 1 - 4$

Step 2.2.2

Subtract $4$ from $- 1$ .

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

Step 2.3

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

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Step 2.3.1

Reorder terms.

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

Step 2.3.2

Remove parentheses.

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