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

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

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

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

Solve the equation for $y$ .

Multiply $\frac{1}{3}$ by $- 2$ .

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

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

Simplify each term.

Combine $\frac{1}{3}$ and $- 2$ .

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

Move the negative in front of the fraction.

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

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

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

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

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

Multiply $- 2$ by $3$ .

$y = \frac{- 2 - 6}{3}$

Subtract $6$ from $- 2$ .

$y = \frac{- 8}{3}$

Move the negative in front of the fraction.

$y = - \frac{8}{3}$

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

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

Solve the equation for $y$ .

Multiply $\frac{1}{3}$ by $- 1$ .

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

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

Simplify each term.

Combine $\frac{1}{3}$ and $- 1$ .

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

Move the negative in front of the fraction.

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

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

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

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

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

Multiply $- 2$ by $3$ .

$y = \frac{- 1 - 6}{3}$

Subtract $6$ from $- 1$ .

$y = \frac{- 7}{3}$

Move the negative in front of the fraction.

$y = - \frac{7}{3}$

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

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

Solve the equation for $y$ .

Multiply $\frac{1}{3}$ by $0$ .

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

Remove parentheses.

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

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

Multiply $\frac{1}{3}$ by $0$ .

$y = 0 - 2$

Subtract $2$ from $0$ .

$y = - 2$

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

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

Solve the equation for $y$ .

Multiply $\frac{1}{3}$ by $1$ .

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

Remove parentheses.

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

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

Multiply $\frac{1}{3}$ by $1$ .

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

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

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

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

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

Multiply $- 2$ by $3$ .

$y = \frac{1 - 6}{3}$

Subtract $6$ from $1$ .

$y = \frac{- 5}{3}$

Move the negative in front of the fraction.

$y = - \frac{5}{3}$

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

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

Solve the equation for $y$ .

Multiply $\frac{1}{3}$ by $2$ .

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

Remove parentheses.

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

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

Combine $\frac{1}{3}$ and $2$ .

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

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

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

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

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

Multiply $- 2$ by $3$ .

$y = \frac{2 - 6}{3}$

Subtract $6$ from $2$ .

$y = \frac{- 4}{3}$

Move the negative in front of the fraction.

$y = - \frac{4}{3}$

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

$\begin{array}{c} x & y \\ - 2 & - \frac{8}{3} \\ - 1 & - \frac{7}{3} \\ 0 & - 2 \\ 1 & - \frac{5}{3} \\ 2 & - \frac{4}{3} \end{array}$

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

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