Graph Using a Table of Values -7x+y=-8

$- 7 x + y = - 8$

Step 1

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

$- 7 \cdot - 2 + y = - 8$

Step 2

Solve the equation for $y$ .

Multiply $- 7$ by $- 2$ .

$14 + y = - 8$

Move all terms not containing $y$ to the right side of the equation.

Subtract $14$ from both sides of the equation.

$y = - 8 - 14$

Subtract $14$ from $- 8$ .

$y = - 22$

Step 3

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

$- 7 \cdot - 1 + y = - 8$

Step 4

Solve the equation for $y$ .

Multiply $- 7$ by $- 1$ .

$7 + y = - 8$

Move all terms not containing $y$ to the right side of the equation.

Subtract $7$ from both sides of the equation.

$y = - 8 - 7$

Subtract $7$ from $- 8$ .

$y = - 15$

Step 5

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

$- 7 \cdot 0 + y = - 8$

Step 6

Simplify $- 7 \cdot 0 + y$ .

Multiply $- 7$ by $0$ .

$0 + y = - 8$

Add $0$ and $y$ .

$y = - 8$

Step 7

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

$- 7 \cdot 1 + y = - 8$

Step 8

Solve the equation for $y$ .

Multiply $- 7$ by $1$ .

$- 7 + y = - 8$

Move all terms not containing $y$ to the right side of the equation.

Add $7$ to both sides of the equation.

$y = - 8 + 7$

Add $- 8$ and $7$ .

$y = - 1$

Step 9

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

$- 7 \cdot 2 + y = - 8$

Step 10

Solve the equation for $y$ .

Multiply $- 7$ by $2$ .

$- 14 + y = - 8$

Move all terms not containing $y$ to the right side of the equation.

Add $14$ to both sides of the equation.

$y = - 8 + 14$

Add $- 8$ and $14$ .

$y = 6$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & - 22 \\ - 1 & - 15 \\ 0 & - 8 \\ 1 & - 1 \\ 2 & 6 \end{array}$

Step 12

Graph Using a Table of Values -7x+y=-8

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