Graph Using a Table of Values y=5x-7

$y = 5 x - 7$

Step 1

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

$y = 5 (- 2) - 7$

Step 2

Simplify $5 (- 2) - 7$ .

Multiply $5$ by $- 2$ .

$y = - 10 - 7$

Subtract $7$ from $- 10$ .

$y = - 17$

Step 3

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

$y = 5 (- 1) - 7$

Step 4

Simplify $5 (- 1) - 7$ .

Multiply $5$ by $- 1$ .

$y = - 5 - 7$

Subtract $7$ from $- 5$ .

$y = - 12$

Step 5

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

$y = 5 (0) - 7$

Step 6

Solve the equation for $y$ .

Remove parentheses.

$y = 5 (0) - 7$

Simplify $5 (0) - 7$ .

Multiply $5$ by $0$ .

$y = 0 - 7$

Subtract $7$ from $0$ .

$y = - 7$

Step 7

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

$y = 5 (1) - 7$

Step 8

Solve the equation for $y$ .

Remove parentheses.

$y = 5 (1) - 7$

Simplify $5 (1) - 7$ .

Multiply $5$ by $1$ .

$y = 5 - 7$

Subtract $7$ from $5$ .

$y = - 2$

Step 9

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

$y = 5 (2) - 7$

Step 10

Solve the equation for $y$ .

Remove parentheses.

$y = 5 (2) - 7$

Simplify $5 (2) - 7$ .

Multiply $5$ by $2$ .

$y = 10 - 7$

Subtract $7$ from $10$ .

$y = 3$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & - 17 \\ - 1 & - 12 \\ 0 & - 7 \\ 1 & - 2 \\ 2 & 3 \end{array}$

Step 12

Graph Using a Table of Values y=5x-7

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