Graph Using a Table of Values 2x-y=6

$2 x - y = 6$

Step 1

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

$2 (- 2) - y = 6$

Step 2

Solve the equation for $y$ .

Multiply $2$ by $- 2$ .

$- 4 - y = 6$

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

Add $4$ to both sides of the equation.

$- y = 6 + 4$

Add $6$ and $4$ .

$- y = 10$

Divide each term in $- y = 10$ by $- 1$ and simplify.

Divide each term in $- y = 10$ by $- 1$ .

$\frac{- y}{- 1} = \frac{10}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{10}{- 1}$

Divide $y$ by $1$ .

$y = \frac{10}{- 1}$

Simplify the right side.

Divide $10$ by $- 1$ .

$y = - 10$

Step 3

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

$2 (- 1) - y = 6$

Step 4

Solve the equation for $y$ .

Multiply $2$ by $- 1$ .

$- 2 - y = 6$

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

Add $2$ to both sides of the equation.

$- y = 6 + 2$

Add $6$ and $2$ .

$- y = 8$

Divide each term in $- y = 8$ by $- 1$ and simplify.

Divide each term in $- y = 8$ by $- 1$ .

$\frac{- y}{- 1} = \frac{8}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{8}{- 1}$

Divide $y$ by $1$ .

$y = \frac{8}{- 1}$

Simplify the right side.

Divide $8$ by $- 1$ .

$y = - 8$

Step 5

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

$2 (0) - y = 6$

Step 6

Solve the equation for $y$ .

Simplify $2 (0) - y$ .

Multiply $2$ by $0$ .

$0 - y = 6$

Subtract $y$ from $0$ .

$- y = 6$

Divide each term in $- y = 6$ by $- 1$ and simplify.

Divide each term in $- y = 6$ by $- 1$ .

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

Simplify the left side.

Dividing two negative values results in a positive value.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Divide $6$ by $- 1$ .

$y = - 6$

Step 7

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

$2 (1) - y = 6$

Step 8

Solve the equation for $y$ .

Multiply $2$ by $1$ .

$2 - y = 6$

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

Subtract $2$ from both sides of the equation.

$- y = 6 - 2$

Subtract $2$ from $6$ .

$- y = 4$

Divide each term in $- y = 4$ by $- 1$ and simplify.

Divide each term in $- y = 4$ by $- 1$ .

$\frac{- y}{- 1} = \frac{4}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{4}{- 1}$

Divide $y$ by $1$ .

$y = \frac{4}{- 1}$

Simplify the right side.

Divide $4$ by $- 1$ .

$y = - 4$

Step 9

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

$2 (2) - y = 6$

Step 10

Solve the equation for $y$ .

Multiply $2$ by $2$ .

$4 - y = 6$

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

Subtract $4$ from both sides of the equation.

$- y = 6 - 4$

Subtract $4$ from $6$ .

$- y = 2$

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

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

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

Simplify the left side.

Dividing two negative values results in a positive value.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Divide $2$ by $- 1$ .

$y = - 2$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & - 10 \\ - 1 & - 8 \\ 0 & - 6 \\ 1 & - 4 \\ 2 & - 2 \end{array}$

Step 12

Graph Using a Table of Values 2x-y=6

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