Algebra Examples

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

Step 1

Substitute $- 2$ for $x$ and find the result for $y$ .

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

Step 2

Simplify $\frac{- 2}{2} - 2$ .

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Divide $- 2$ by $2$ .

$y = - 1 - 2$

Subtract $2$ from $- 1$ .

$y = - 3$

Step 3

Substitute $- 1$ for $x$ and find the result for $y$ .

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

Step 4

Simplify $\frac{- 1}{2} - 2$ .

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Move the negative in front of the fraction.

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

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

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

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

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

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Multiply $- 2$ by $2$ .

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

Subtract $4$ from $- 1$ .

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

Move the negative in front of the fraction.

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

Step 5

Substitute $0$ for $x$ and find the result for $y$ .

$y = \frac{0}{2} - 2$

Step 6

Solve the equation for $y$ .

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Remove parentheses.

$y = \frac{0}{2} - 2$

Simplify $\frac{0}{2} - 2$ .

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Divide $0$ by $2$ .

$y = 0 - 2$

Subtract $2$ from $0$ .

$y = - 2$

Step 7

Substitute $1$ for $x$ and find the result for $y$ .

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

Step 8

Solve the equation for $y$ .

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Remove parentheses.

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

Simplify $\frac{1}{2} - 2$ .

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

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

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

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

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Multiply $- 2$ by $2$ .

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

Subtract $4$ from $1$ .

$y = \frac{- 3}{2}$

Move the negative in front of the fraction.

$y = - \frac{3}{2}$

Step 9

Substitute $2$ for $x$ and find the result for $y$ .

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

Step 10

Solve the equation for $y$ .

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Remove parentheses.

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

Simplify $\frac{2}{2} - 2$ .

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Divide $2$ by $2$ .

$y = 1 - 2$

Subtract $2$ from $1$ .

$y = - 1$

Step 11

This is a table of possible values to use when graphing the equation.

$\begin{array}{c} x & y \\ - 2 & - 3 \\ - 1 & - \frac{5}{2} \\ 0 & - 2 \\ 1 & - \frac{3}{2} \\ 2 & - 1 \end{array}$

Step 12