Graph Using a Table of Values y=-3x+4

$y = - 3 x + 4$

Step 1

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

$y = - 3 \cdot - 2 + 4$

Step 2

Solve the equation for $y$ .

Remove parentheses.

$y = - 3 \cdot - 2 + 4$

Simplify $- 3 \cdot - 2 + 4$ .

Multiply $- 3$ by $- 2$ .

$y = 6 + 4$

Add $6$ and $4$ .

$y = 10$

Step 3

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

$y = - 3 \cdot - 1 + 4$

Step 4

Solve the equation for $y$ .

Remove parentheses.

$y = - 3 \cdot - 1 + 4$

Simplify $- 3 \cdot - 1 + 4$ .

Multiply $- 3$ by $- 1$ .

$y = 3 + 4$

Add $3$ and $4$ .

$y = 7$

Step 5

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

$y = - 3 \cdot 0 + 4$

Step 6

Solve the equation for $y$ .

Remove parentheses.

$y = - 3 \cdot 0 + 4$

Simplify $- 3 \cdot 0 + 4$ .

Multiply $- 3$ by $0$ .

$y = 0 + 4$

Add $0$ and $4$ .

$y = 4$

Step 7

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

$y = - 3 \cdot 1 + 4$

Step 8

Solve the equation for $y$ .

Remove parentheses.

$y = - 3 \cdot 1 + 4$

Simplify $- 3 \cdot 1 + 4$ .

Multiply $- 3$ by $1$ .

$y = - 3 + 4$

Add $- 3$ and $4$ .

$y = 1$

Step 9

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

$y = - 3 \cdot 2 + 4$

Step 10

Solve the equation for $y$ .

Remove parentheses.

$y = - 3 \cdot 2 + 4$

Simplify $- 3 \cdot 2 + 4$ .

Multiply $- 3$ by $2$ .

$y = - 6 + 4$

Add $- 6$ and $4$ .

$y = - 2$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & 10 \\ - 1 & 7 \\ 0 & 4 \\ 1 & 1 \\ 2 & - 2 \end{array}$

Step 12

Graph Using a Table of Values y=-3x+4

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