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

$y = - x + 2$

Step 1

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

$y = - (- 2) + 2$

Step 2

Simplify $- (- 2) + 2$ .

Multiply $- 1$ by $- 2$ .

$y = 2 + 2$

Add $2$ and $2$ .

$y = 4$

Step 3

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

$y = - (- 1) + 2$

Step 4

Simplify $- (- 1) + 2$ .

Multiply $- 1$ by $- 1$ .

$y = 1 + 2$

Add $1$ and $2$ .

$y = 3$

Step 5

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

$y = - (0) + 2$

Step 6

Solve the equation for $y$ .

Remove parentheses.

$y = - (0) + 2$

Simplify $- (0) + 2$ .

Multiply $- 1$ by $0$ .

$y = 0 + 2$

Add $0$ and $2$ .

$y = 2$

Step 7

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

$y = - (1) + 2$

Step 8

Solve the equation for $y$ .

Remove parentheses.

$y = - (1) + 2$

Simplify $- (1) + 2$ .

Multiply $- 1$ by $1$ .

$y = - 1 + 2$

Add $- 1$ and $2$ .

$y = 1$

Step 9

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

$y = - (2) + 2$

Step 10

Solve the equation for $y$ .

Remove parentheses.

$y = - (2) + 2$

Simplify $- (2) + 2$ .

Multiply $- 1$ by $2$ .

$y = - 2 + 2$

Add $- 2$ and $2$ .

$y = 0$

Step 11

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

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

Step 12

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

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