Graph Using a Table of Values y=1/(3x)

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

Step 1

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

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

Step 2

Solve the equation for $y$ .

Remove parentheses.

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

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

Multiply $3$ by $- 2$ .

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

Move the negative in front of the fraction.

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

Step 3

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

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

Step 4

Solve the equation for $y$ .

Remove parentheses.

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

Cancel the common factor of $1$ and $- 1$ .

Rewrite $1$ as $- 1 (- 1)$ .

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

Move the negative in front of the fraction.

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

Step 5

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

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

Step 6

Solve the equation for $y$ .

Remove parentheses.

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

Cancel the common factor of $1$ .

Cancel the common factor.

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

Rewrite the expression.

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

Step 7

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

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

Step 8

Solve the equation for $y$ .

Remove parentheses.

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

Multiply $3$ by $2$ .

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

Step 9

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

$\begin{array}{c} x & y \\ - 2 & - \frac{1}{6} \\ - 1 & - \frac{1}{3} \\ 1 & \frac{1}{3} \\ 2 & \frac{1}{6} \end{array}$

Step 10

Graph Using a Table of Values y=1/(3x)

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