Graph Using a Table of Values -x-2y=8

$- x - 2 y = 8$

Step 1

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

$- (- 2) - 2 y = 8$

Step 2

Solve the equation for $y$ .

Multiply $- 1$ by $- 2$ .

$2 - 2 y = 8$

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

Subtract $2$ from both sides of the equation.

$- 2 y = 8 - 2$

Subtract $2$ from $8$ .

$- 2 y = 6$

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 $y$ .

$- (- 1) - 2 y = 8$

Step 4

Solve the equation for $y$ .

Multiply $- 1$ by $- 1$ .

$1 - 2 y = 8$

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

Subtract $1$ from both sides of the equation.

$- 2 y = 8 - 1$

Subtract $1$ from $8$ .

$- 2 y = 7$

Divide each term in $- 2 y = 7$ by $- 2$ and simplify.

Divide each term in $- 2 y = 7$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{7}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{7}{- 2}$

Divide $y$ by $1$ .

$y = \frac{7}{- 2}$

Simplify the right side.

Move the negative in front of the fraction.

$y = - \frac{7}{2}$

Step 5

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

$- (0) - 2 y = 8$

Step 6

Solve the equation for $y$ .

Simplify $- (0) - 2 y$ .

Multiply $- 1$ by $0$ .

$0 - 2 y = 8$

Subtract $2 y$ from $0$ .

$- 2 y = 8$

Divide each term in $- 2 y = 8$ by $- 2$ and simplify.

Divide each term in $- 2 y = 8$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{8}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{8}{- 2}$

Divide $y$ by $1$ .

$y = \frac{8}{- 2}$

Simplify the right side.

Divide $8$ by $- 2$ .

$y = - 4$

Step 7

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

$- (1) - 2 y = 8$

Step 8

Solve the equation for $y$ .

Multiply $- 1$ by $1$ .

$- 1 - 2 y = 8$

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

Add $1$ to both sides of the equation.

$- 2 y = 8 + 1$

Add $8$ and $1$ .

$- 2 y = 9$

Divide each term in $- 2 y = 9$ by $- 2$ and simplify.

Divide each term in $- 2 y = 9$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{9}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{9}{- 2}$

Divide $y$ by $1$ .

$y = \frac{9}{- 2}$

Simplify the right side.

Move the negative in front of the fraction.

$y = - \frac{9}{2}$

Step 9

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

$- (2) - 2 y = 8$

Step 10

Solve the equation for $y$ .

Multiply $- 1$ by $2$ .

$- 2 - 2 y = 8$

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

Add $2$ to both sides of the equation.

$- 2 y = 8 + 2$

Add $8$ and $2$ .

$- 2 y = 10$

Divide each term in $- 2 y = 10$ by $- 2$ and simplify.

Divide each term in $- 2 y = 10$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{10}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{10}{- 2}$

Divide $y$ by $1$ .

$y = \frac{10}{- 2}$

Simplify the right side.

Divide $10$ by $- 2$ .

$y = - 5$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & - 3 \\ - 1 & - \frac{7}{2} \\ 0 & - 4 \\ 1 & - \frac{9}{2} \\ 2 & - 5 \end{array}$

Step 12

Graph Using a Table of Values -x-2y=8

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