Graph Using a Table of Values y=-6x+3

$y = - 6 x + 3$

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

$y = - 6 \cdot - 2 + 3$

Solve the equation for $y$ .

Remove parentheses.

$y = - 6 \cdot - 2 + 3$

Simplify $- 6 \cdot - 2 + 3$ .

Multiply $- 6$ by $- 2$ .

$y = 12 + 3$

Add $12$ and $3$ .

$y = 15$

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

$y = - 6 \cdot - 1 + 3$

Solve the equation for $y$ .

Remove parentheses.

$y = - 6 \cdot - 1 + 3$

Simplify $- 6 \cdot - 1 + 3$ .

Multiply $- 6$ by $- 1$ .

$y = 6 + 3$

Add $6$ and $3$ .

$y = 9$

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

$y = - 6 \cdot 0 + 3$

Solve the equation for $y$ .

Remove parentheses.

$y = - 6 \cdot 0 + 3$

Simplify $- 6 \cdot 0 + 3$ .

Multiply $- 6$ by $0$ .

$y = 0 + 3$

Add $0$ and $3$ .

$y = 3$

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

$y = - 6 \cdot 1 + 3$

Solve the equation for $y$ .

Remove parentheses.

$y = - 6 \cdot 1 + 3$

Simplify $- 6 \cdot 1 + 3$ .

Multiply $- 6$ by $1$ .

$y = - 6 + 3$

Add $- 6$ and $3$ .

$y = - 3$

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

$y = - 6 \cdot 2 + 3$

Solve the equation for $y$ .

Remove parentheses.

$y = - 6 \cdot 2 + 3$

Simplify $- 6 \cdot 2 + 3$ .

Multiply $- 6$ by $2$ .

$y = - 12 + 3$

Add $- 12$ and $3$ .

$y = - 9$

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

$\begin{array}{c} x & y \\ - 2 & 15 \\ - 1 & 9 \\ 0 & 3 \\ 1 & - 3 \\ 2 & - 9 \end{array}$

Graph Using a Table of Values y=-6x+3

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