Graph Using a Table of Values g(x)=3-8x

$g (x) = 3 - 8 x$

Step 1

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

$y = 3 - 8 \cdot - 2$

Step 2

Solve the equation for $y$ .

Remove parentheses.

$y = 3 - 8 \cdot - 2$

Simplify $3 - 8 \cdot - 2$ .

Multiply $- 8$ by $- 2$ .

$y = 3 + 16$

Add $3$ and $16$ .

$y = 19$

Step 3

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

$y = 3 - 8 \cdot - 1$

Step 4

Solve the equation for $y$ .

Remove parentheses.

$y = 3 - 8 \cdot - 1$

Simplify $3 - 8 \cdot - 1$ .

Multiply $- 8$ by $- 1$ .

$y = 3 + 8$

Add $3$ and $8$ .

$y = 11$

Step 5

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

$y = 3 - 8 \cdot 0$

Step 6

Solve the equation for $y$ .

Remove parentheses.

$y = 3 - 8 \cdot 0$

Simplify $3 - 8 \cdot 0$ .

Multiply $- 8$ by $0$ .

$y = 3 + 0$

Add $3$ and $0$ .

$y = 3$

Step 7

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

$y = 3 - 8 \cdot 1$

Step 8

Solve the equation for $y$ .

Remove parentheses.

$y = 3 - 8 \cdot 1$

Simplify $3 - 8 \cdot 1$ .

Multiply $- 8$ by $1$ .

$y = 3 - 8$

Subtract $8$ from $3$ .

$y = - 5$

Step 9

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

$y = 3 - 8 \cdot 2$

Step 10

Solve the equation for $y$ .

Remove parentheses.

$y = 3 - 8 \cdot 2$

Simplify $3 - 8 \cdot 2$ .

Multiply $- 8$ by $2$ .

$y = 3 - 16$

Subtract $16$ from $3$ .

$y = - 13$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & 19 \\ - 1 & 11 \\ 0 & 3 \\ 1 & - 5 \\ 2 & - 13 \end{array}$

Step 12

Graph Using a Table of Values g(x)=3-8x

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