Graph Using a Table of Values y=-2x-3

$y = - 2 x - 3$

Step 1

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

$y = - 2 \cdot - 2 - 3$

Step 2

Solve the equation for $y$ .

Remove parentheses.

$y = - 2 \cdot - 2 - 3$

Simplify $- 2 \cdot - 2 - 3$ .

Multiply $- 2$ by $- 2$ .

$y = 4 - 3$

Subtract $3$ from $4$ .

$y = 1$

Step 3

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

$y = - 2 \cdot - 1 - 3$

Step 4

Solve the equation for $y$ .

Remove parentheses.

$y = - 2 \cdot - 1 - 3$

Simplify $- 2 \cdot - 1 - 3$ .

Multiply $- 2$ by $- 1$ .

$y = 2 - 3$

Subtract $3$ from $2$ .

$y = - 1$

Step 5

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

$y = - 2 \cdot 0 - 3$

Step 6

Solve the equation for $y$ .

Remove parentheses.

$y = - 2 \cdot 0 - 3$

Simplify $- 2 \cdot 0 - 3$ .

Multiply $- 2$ by $0$ .

$y = 0 - 3$

Subtract $3$ from $0$ .

$y = - 3$

Step 7

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

$y = - 2 \cdot 1 - 3$

Step 8

Solve the equation for $y$ .

Remove parentheses.

$y = - 2 \cdot 1 - 3$

Simplify $- 2 \cdot 1 - 3$ .

Multiply $- 2$ by $1$ .

$y = - 2 - 3$

Subtract $3$ from $- 2$ .

$y = - 5$

Step 9

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

$y = - 2 \cdot 2 - 3$

Step 10

Solve the equation for $y$ .

Remove parentheses.

$y = - 2 \cdot 2 - 3$

Simplify $- 2 \cdot 2 - 3$ .

Multiply $- 2$ by $2$ .

$y = - 4 - 3$

Subtract $3$ from $- 4$ .

$y = - 7$

Step 11

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

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

Step 12

Graph Using a Table of Values y=-2x-3

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