Pre-Algebra Examples

$- 5 - 2 y = 8$

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

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

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Step 1.2.1

Add $5$ to both sides of the equation.

$- 2 y = 8 + 5$

Step 1.2.2

Add $8$ and $5$ .

$- 2 y = 13$

Step 1.3

Divide each term in $- 2 y = 13$ by $- 2$ and simplify.

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Step 1.3.1

Divide each term in $- 2 y = 13$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{13}{- 2}$

Step 1.3.2

Simplify the left side.

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Step 1.3.2.1

Cancel the common factor of $- 2$ .

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Step 1.3.2.1.1

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{13}{- 2}$

Step 1.3.2.1.2

Divide $y$ by $1$ .

$y = \frac{13}{- 2}$

Step 1.3.3

Simplify the right side.

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Step 1.3.3.1

Move the negative in front of the fraction.

$y = - \frac{13}{2}$

Step 2

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

$m = 0$

Step 3