Graph Using a Table of Values y=5-2x

$y = 5 - 2 x$

Step 1

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

$y = 5 - 2 \cdot - 2$

Step 2

Solve the equation for $y$ .

Remove parentheses.

$y = 5 - 2 \cdot - 2$

Simplify $5 - 2 \cdot - 2$ .

Multiply $- 2$ by $- 2$ .

$y = 5 + 4$

Add $5$ and $4$ .

$y = 9$

Step 3

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

$y = 5 - 2 \cdot - 1$

Step 4

Solve the equation for $y$ .

Remove parentheses.

$y = 5 - 2 \cdot - 1$

Simplify $5 - 2 \cdot - 1$ .

Multiply $- 2$ by $- 1$ .

$y = 5 + 2$

Add $5$ and $2$ .

$y = 7$

Step 5

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

$y = 5 - 2 \cdot 0$

Step 6

Solve the equation for $y$ .

Remove parentheses.

$y = 5 - 2 \cdot 0$

Simplify $5 - 2 \cdot 0$ .

Multiply $- 2$ by $0$ .

$y = 5 + 0$

Add $5$ and $0$ .

$y = 5$

Step 7

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

$y = 5 - 2 \cdot 1$

Step 8

Solve the equation for $y$ .

Remove parentheses.

$y = 5 - 2 \cdot 1$

Simplify $5 - 2 \cdot 1$ .

Multiply $- 2$ by $1$ .

$y = 5 - 2$

Subtract $2$ from $5$ .

$y = 3$

Step 9

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

$y = 5 - 2 \cdot 2$

Step 10

Solve the equation for $y$ .

Remove parentheses.

$y = 5 - 2 \cdot 2$

Simplify $5 - 2 \cdot 2$ .

Multiply $- 2$ by $2$ .

$y = 5 - 4$

Subtract $4$ from $5$ .

$y = 1$

Step 11

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

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

Step 12

Graph Using a Table of Values y=5-2x

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