Algebra Examples

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

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 $- 2 (x + 1)$ .

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Step 2.1.1.1

Apply the distributive property.

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

Step 2.1.1.2

Multiply $- 2$ by $1$ .

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

Step 2.2

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

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Step 2.2.1

Add $\frac{5}{2}$ to both sides of the equation.

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

Step 2.2.2

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

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

Step 2.2.3

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

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

Step 2.2.4

Combine the numerators over the common denominator.

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

Step 2.2.5

Simplify the numerator.

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Step 2.2.5.1

Multiply $- 2$ by $2$ .

$y = - 2 x + \frac{- 4 + 5}{2}$

Step 2.2.5.2

Add $- 4$ and $5$ .

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