Graph Using a Table of Values 6x-2y=12

$6 x - 2 y = 12$

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

$6 (- 2) - 2 y = 12$

Solve the equation for $y$ .

Multiply $6$ by $- 2$ .

$- 12 - 2 y = 12$

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

Add $12$ to both sides of the equation.

$- 2 y = 12 + 12$

Add $12$ and $12$ .

$- 2 y = 24$

Divide each term in $- 2 y = 24$ by $- 2$ and simplify.

Divide each term in $- 2 y = 24$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{24}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{24}{- 2}$

Divide $y$ by $1$ .

$y = \frac{24}{- 2}$

Simplify the right side.

Divide $24$ by $- 2$ .

$y = - 12$

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

$6 (- 1) - 2 y = 12$

Solve the equation for $y$ .

Multiply $6$ by $- 1$ .

$- 6 - 2 y = 12$

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

Add $6$ to both sides of the equation.

$- 2 y = 12 + 6$

Add $12$ and $6$ .

$- 2 y = 18$

Divide each term in $- 2 y = 18$ by $- 2$ and simplify.

Divide each term in $- 2 y = 18$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{18}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{18}{- 2}$

Divide $y$ by $1$ .

$y = \frac{18}{- 2}$

Simplify the right side.

Divide $18$ by $- 2$ .

$y = - 9$

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

$6 (0) - 2 y = 12$

Solve the equation for $y$ .

Simplify $6 (0) - 2 y$ .

Multiply $6$ by $0$ .

$0 - 2 y = 12$

Subtract $2 y$ from $0$ .

$- 2 y = 12$

Divide each term in $- 2 y = 12$ by $- 2$ and simplify.

Divide each term in $- 2 y = 12$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{12}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{12}{- 2}$

Divide $y$ by $1$ .

$y = \frac{12}{- 2}$

Simplify the right side.

Divide $12$ by $- 2$ .

$y = - 6$

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

$6 (1) - 2 y = 12$

Solve the equation for $y$ .

Multiply $6$ by $1$ .

$6 - 2 y = 12$

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

Subtract $6$ from both sides of the equation.

$- 2 y = 12 - 6$

Subtract $6$ from $12$ .

$- 2 y = 6$

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 $- 2$ .

$y = - 3$

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

$6 (2) - 2 y = 12$

Solve the equation for $y$ .

Multiply $6$ by $2$ .

$12 - 2 y = 12$

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

Subtract $12$ from both sides of the equation.

$- 2 y = 12 - 12$

Subtract $12$ from $12$ .

$- 2 y = 0$

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 $- 2$ .

$y = 0$

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

$\begin{array}{c} x & y \\ - 2 & - 12 \\ - 1 & - 9 \\ 0 & - 6 \\ 1 & - 3 \\ 2 & 0 \end{array}$

Graph Using a Table of Values 6x-2y=12

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