Graph Using a Table of Values y=7x-3

$y = 7 x - 3$

Step 1

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

$y = 7 (- 2) - 3$

Step 2

Simplify $7 (- 2) - 3$ .

Multiply $7$ by $- 2$ .

$y = - 14 - 3$

Subtract $3$ from $- 14$ .

$y = - 17$

Step 3

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

$y = 7 (- 1) - 3$

Step 4

Simplify $7 (- 1) - 3$ .

Multiply $7$ by $- 1$ .

$y = - 7 - 3$

Subtract $3$ from $- 7$ .

$y = - 10$

Step 5

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

$y = 7 (0) - 3$

Step 6

Solve the equation for $y$ .

Remove parentheses.

$y = 7 (0) - 3$

Simplify $7 (0) - 3$ .

Multiply $7$ by $0$ .

$y = 0 - 3$

Subtract $3$ from $0$ .

$y = - 3$

Step 7

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

$y = 7 (1) - 3$

Step 8

Solve the equation for $y$ .

Remove parentheses.

$y = 7 (1) - 3$

Simplify $7 (1) - 3$ .

Multiply $7$ by $1$ .

$y = 7 - 3$

Subtract $3$ from $7$ .

$y = 4$

Step 9

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

$y = 7 (2) - 3$

Step 10

Solve the equation for $y$ .

Remove parentheses.

$y = 7 (2) - 3$

Simplify $7 (2) - 3$ .

Multiply $7$ by $2$ .

$y = 14 - 3$

Subtract $3$ from $14$ .

$y = 11$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & - 17 \\ - 1 & - 10 \\ 0 & - 3 \\ 1 & 4 \\ 2 & 11 \end{array}$

Step 12

Graph Using a Table of Values y=7x-3

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