Graph Using a Table of Values y=-1/2x-3

$y = - \frac{1}{2} x - 3$

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

$y = - \frac{1}{2} \cdot - 2 - 3$

Solve the equation for $y$ .

Remove parentheses.

$y = - \frac{1}{2} \cdot - 2 - 3$

Simplify $- \frac{1}{2} \cdot - 2 - 3$ .

Simplify each term.

Cancel the common factor of $2$ .

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

$y = \frac{- 1}{2} \cdot - 2 - 3$

Factor $2$ out of $- 2$ .

$y = \frac{- 1}{2} \cdot (2 (- 1)) - 3$

Cancel the common factor.

$y = \frac{- 1}{2} \cdot (2 \cdot - 1) - 3$

Rewrite the expression.

$y = - 1 \cdot - 1 - 3$

Multiply $- 1$ by $- 1$ .

$y = 1 - 3$

Subtract $3$ from $1$ .

$y = - 2$

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

$y = - \frac{1}{2} \cdot - 1 - 3$

Solve the equation for $y$ .

Remove parentheses.

$y = - \frac{1}{2} \cdot - 1 - 3$

Simplify $- \frac{1}{2} \cdot - 1 - 3$ .

Multiply $- \frac{1}{2} \cdot - 1$ .

Multiply $- 1$ by $- 1$ .

$y = 1 (\frac{1}{2}) - 3$

Multiply $\frac{1}{2}$ by $1$ .

$y = \frac{1}{2} - 3$

To write $- 3$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$y = \frac{1}{2} - 3 \cdot \frac{2}{2}$

Combine $- 3$ and $\frac{2}{2}$ .

$y = \frac{1}{2} + \frac{- 3 \cdot 2}{2}$

Combine the numerators over the common denominator.

$y = \frac{1 - 3 \cdot 2}{2}$

Simplify the numerator.

Multiply $- 3$ by $2$ .

$y = \frac{1 - 6}{2}$

Subtract $6$ from $1$ .

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

Move the negative in front of the fraction.

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

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

$y = - \frac{1}{2} \cdot 0 - 3$

Solve the equation for $y$ .

Remove parentheses.

$y = - \frac{1}{2} \cdot 0 - 3$

Simplify $- \frac{1}{2} \cdot 0 - 3$ .

Multiply $- \frac{1}{2} \cdot 0$ .

Multiply $0$ by $- 1$ .

$y = 0 (\frac{1}{2}) - 3$

Multiply $0$ by $\frac{1}{2}$ .

$y = 0 - 3$

Subtract $3$ from $0$ .

$y = - 3$

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

$y = - \frac{1}{2} \cdot 1 - 3$

Solve the equation for $y$ .

Remove parentheses.

$y = - \frac{1}{2} \cdot 1 - 3$

Simplify $- \frac{1}{2} \cdot 1 - 3$ .

Multiply $- 1$ by $1$ .

$y = - \frac{1}{2} - 3$

To write $- 3$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$y = - \frac{1}{2} - 3 \cdot \frac{2}{2}$

Combine $- 3$ and $\frac{2}{2}$ .

$y = - \frac{1}{2} + \frac{- 3 \cdot 2}{2}$

Combine the numerators over the common denominator.

$y = \frac{- 1 - 3 \cdot 2}{2}$

Simplify the numerator.

Multiply $- 3$ by $2$ .

$y = \frac{- 1 - 6}{2}$

Subtract $6$ from $- 1$ .

$y = \frac{- 7}{2}$

Move the negative in front of the fraction.

$y = - \frac{7}{2}$

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

$y = - \frac{1}{2} \cdot 2 - 3$

Solve the equation for $y$ .

Remove parentheses.

$y = - \frac{1}{2} \cdot 2 - 3$

Simplify $- \frac{1}{2} \cdot 2 - 3$ .

Cancel the common factor of $2$ .

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

$y = \frac{- 1}{2} \cdot 2 - 3$

Cancel the common factor.

$y = \frac{- 1}{2} \cdot 2 - 3$

Rewrite the expression.

$y = - 1 - 3$

Subtract $3$ from $- 1$ .

$y = - 4$

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

$\begin{array}{c} x & y \\ - 2 & - 2 \\ - 1 & - \frac{5}{2} \\ 0 & - 3 \\ 1 & - \frac{7}{2} \\ 2 & - 4 \end{array}$

Graph Using a Table of Values y=-1/2x-3

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