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

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

Step 1

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

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

Step 2

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

Move the negative in front of the fraction.

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

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

Multiply $- 1$ by $- 1$ .

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

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

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

Step 3

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

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

Step 4

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

Divide $1$ by $- 1$ .

$y = - - 1$

Multiply $- 1$ by $- 1$ .

$y = 1$

Step 5

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

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

Step 6

Solve the equation for $y$ .

Remove parentheses.

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

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

Cancel the common factor of $1$ .

Cancel the common factor.

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

Rewrite the expression.

$y = - 1 \cdot 1$

Multiply $- 1$ by $1$ .

$y = - 1$

Step 7

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

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

Step 8

Remove parentheses.

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

Step 9

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

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

Step 10

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

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