Graph Using a Table of Values x=2y

$x = 2 y$

Step 1

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

$- 2 = 2 y$

Step 2

Solve the equation for $y$ .

Rewrite the equation as $2 y = - 2$ .

$2 y = - 2$

Divide each term in $2 y = - 2$ by $2$ and simplify.

Divide each term in $2 y = - 2$ by $2$ .

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

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Divide $- 2$ by $2$ .

$y = - 1$

Step 3

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

$- 1 = 2 y$

Step 4

Solve the equation for $y$ .

Rewrite the equation as $2 y = - 1$ .

$2 y = - 1$

Divide each term in $2 y = - 1$ by $2$ and simplify.

Divide each term in $2 y = - 1$ by $2$ .

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

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Move the negative in front of the fraction.

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

Step 5

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

$0 = 2 y$

Step 6

Solve the equation for $y$ .

Rewrite the equation as $2 y = 0$ .

$2 y = 0$

Divide each term in $2 y = 0$ by $2$ and simplify.

Divide each term in $2 y = 0$ by $2$ .

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

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Divide $0$ by $2$ .

$y = 0$

Step 7

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

$1 = 2 y$

Step 8

Solve the equation for $y$ .

Rewrite the equation as $2 y = 1$ .

$2 y = 1$

Divide each term in $2 y = 1$ by $2$ and simplify.

Divide each term in $2 y = 1$ by $2$ .

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

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Step 9

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

$2 = 2 y$

Step 10

Solve the equation for $y$ .

Rewrite the equation as $2 y = 2$ .

$2 y = 2$

Divide each term in $2 y = 2$ by $2$ and simplify.

Divide each term in $2 y = 2$ by $2$ .

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

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Divide $2$ by $2$ .

$y = 1$

Step 11

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

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

Step 12

Graph Using a Table of Values x=2y

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