Graph Using a Table of Values f(x)=-3x+2

$f (x) = - 3 x + 2$

Step 1

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

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

Step 2

Solve the equation for $y$ .

Remove parentheses.

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

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

Multiply $- 3$ by $- 2$ .

$y = 6 + 2$

Add $6$ and $2$ .

$y = 8$

Step 3

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

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

Step 4

Solve the equation for $y$ .

Remove parentheses.

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

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

Multiply $- 3$ by $- 1$ .

$y = 3 + 2$

Add $3$ and $2$ .

$y = 5$

Step 5

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

$y = - 3 \cdot 0 + 2$

Step 6

Solve the equation for $y$ .

Remove parentheses.

$y = - 3 \cdot 0 + 2$

Simplify $- 3 \cdot 0 + 2$ .

Multiply $- 3$ by $0$ .

$y = 0 + 2$

Add $0$ and $2$ .

$y = 2$

Step 7

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

$y = - 3 \cdot 1 + 2$

Step 8

Solve the equation for $y$ .

Remove parentheses.

$y = - 3 \cdot 1 + 2$

Simplify $- 3 \cdot 1 + 2$ .

Multiply $- 3$ by $1$ .

$y = - 3 + 2$

Add $- 3$ and $2$ .

$y = - 1$

Step 9

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

$y = - 3 \cdot 2 + 2$

Step 10

Solve the equation for $y$ .

Remove parentheses.

$y = - 3 \cdot 2 + 2$

Simplify $- 3 \cdot 2 + 2$ .

Multiply $- 3$ by $2$ .

$y = - 6 + 2$

Add $- 6$ and $2$ .

$y = - 4$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & 8 \\ - 1 & 5 \\ 0 & 2 \\ 1 & - 1 \\ 2 & - 4 \end{array}$

Step 12

Graph Using a Table of Values f(x)=-3x+2

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