Graph Using a Table of Values x-y=3

$x - y = 3$

Step 1

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

$(- 2) - y = 3$

Step 2

Solve the equation for $y$ .

Remove parentheses.

$- 2 - y = 3$

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

Add $2$ to both sides of the equation.

$- y = 3 + 2$

Add $3$ and $2$ .

$- y = 5$

Divide each term in $- y = 5$ by $- 1$ and simplify.

Divide each term in $- y = 5$ by $- 1$ .

$\frac{- y}{- 1} = \frac{5}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{5}{- 1}$

Divide $y$ by $1$ .

$y = \frac{5}{- 1}$

Simplify the right side.

Divide $5$ by $- 1$ .

$y = - 5$

Step 3

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

$(- 1) - y = 3$

Step 4

Solve the equation for $y$ .

Remove parentheses.

$- 1 - y = 3$

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

Add $1$ to both sides of the equation.

$- y = 3 + 1$

Add $3$ and $1$ .

$- y = 4$

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 5

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

$(0) - y = 3$

Step 6

Solve the equation for $y$ .

Subtract $y$ from $0$ .

$- y = 3$

Divide each term in $- y = 3$ by $- 1$ and simplify.

Divide each term in $- y = 3$ by $- 1$ .

$\frac{- y}{- 1} = \frac{3}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{3}{- 1}$

Divide $y$ by $1$ .

$y = \frac{3}{- 1}$

Simplify the right side.

Divide $3$ by $- 1$ .

$y = - 3$

Step 7

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

$(1) - y = 3$

Step 8

Solve the equation for $y$ .

Remove parentheses.

$1 - y = 3$

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

Subtract $1$ from both sides of the equation.

$- y = 3 - 1$

Subtract $1$ from $3$ .

$- y = 2$

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 9

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

$(2) - y = 3$

Step 10

Solve the equation for $y$ .

Remove parentheses.

$2 - y = 3$

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

Subtract $2$ from both sides of the equation.

$- y = 3 - 2$

Subtract $2$ from $3$ .

$- y = 1$

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

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

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

Simplify the left side.

Dividing two negative values results in a positive value.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Divide $1$ by $- 1$ .

$y = - 1$

Step 11

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

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

Step 12

Graph Using a Table of Values x-y=3

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