Graph Using a Table of Values x-2y=4

$x - 2 y = 4$

Step 1

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

$(- 2) - 2 y = 4$

Step 2

Solve the equation for $y$ .

Remove parentheses.

$- 2 - 2 y = 4$

Move all terms not containing $y$ to the right side of the equation.

Add $2$ to both sides of the equation.

$- 2 y = 4 + 2$

Add $4$ and $2$ .

$- 2 y = 6$

Divide each term in $- 2 y = 6$ by $- 2$ and simplify.

Divide each term in $- 2 y = 6$ by $- 2$ .

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

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Divide $6$ by $- 2$ .

$y = - 3$

Step 3

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

$(- 1) - 2 y = 4$

Step 4

Solve the equation for $y$ .

Remove parentheses.

$- 1 - 2 y = 4$

Move all terms not containing $y$ to the right side of the equation.

Add $1$ to both sides of the equation.

$- 2 y = 4 + 1$

Add $4$ and $1$ .

$- 2 y = 5$

Divide each term in $- 2 y = 5$ by $- 2$ and simplify.

Divide each term in $- 2 y = 5$ by $- 2$ .

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

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Move the negative in front of the fraction.

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

Step 5

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

$(0) - 2 y = 4$

Step 6

Solve the equation for $y$ .

Subtract $2 y$ from $0$ .

$- 2 y = 4$

Divide each term in $- 2 y = 4$ by $- 2$ and simplify.

Divide each term in $- 2 y = 4$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{4}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{4}{- 2}$

Divide $y$ by $1$ .

$y = \frac{4}{- 2}$

Simplify the right side.

Divide $4$ by $- 2$ .

$y = - 2$

Step 7

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

$(1) - 2 y = 4$

Step 8

Solve the equation for $y$ .

Remove parentheses.

$1 - 2 y = 4$

Move all terms not containing $y$ to the right side of the equation.

Subtract $1$ from both sides of the equation.

$- 2 y = 4 - 1$

Subtract $1$ from $4$ .

$- 2 y = 3$

Divide each term in $- 2 y = 3$ by $- 2$ and simplify.

Divide each term in $- 2 y = 3$ by $- 2$ .

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

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Move the negative in front of the fraction.

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

Step 9

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

$(2) - 2 y = 4$

Step 10

Solve the equation for $y$ .

Remove parentheses.

$2 - 2 y = 4$

Move all terms not containing $y$ to the right side of the equation.

Subtract $2$ from both sides of the equation.

$- 2 y = 4 - 2$

Subtract $2$ from $4$ .

$- 2 y = 2$

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.

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

Step 12

Graph Using a Table of Values x-2y=4

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