Graph Using a Table of Values -2x+9y=-26

$- 2 x + 9 y = - 26$

Step 1

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

$- 2 \cdot - 2 + 9 y = - 26$

Step 2

Solve the equation for $y$ .

Multiply $- 2$ by $- 2$ .

$4 + 9 y = - 26$

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

Subtract $4$ from both sides of the equation.

$9 y = - 26 - 4$

Subtract $4$ from $- 26$ .

$9 y = - 30$

Divide each term in $9 y = - 30$ by $9$ and simplify.

Divide each term in $9 y = - 30$ by $9$ .

$\frac{9 y}{9} = \frac{- 30}{9}$

Simplify the left side.

Cancel the common factor of $9$ .

Cancel the common factor.

$\frac{9 y}{9} = \frac{- 30}{9}$

Divide $y$ by $1$ .

$y = \frac{- 30}{9}$

Simplify the right side.

Cancel the common factor of $- 30$ and $9$ .

Factor $3$ out of $- 30$ .

$y = \frac{3 (- 10)}{9}$

Cancel the common factors.

Factor $3$ out of $9$ .

$y = \frac{3 \cdot - 10}{3 \cdot 3}$

Cancel the common factor.

$y = \frac{3 \cdot - 10}{3 \cdot 3}$

Rewrite the expression.

$y = \frac{- 10}{3}$

Move the negative in front of the fraction.

$y = - \frac{10}{3}$

Step 3

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

$- 2 \cdot - 1 + 9 y = - 26$

Step 4

Solve the equation for $y$ .

Multiply $- 2$ by $- 1$ .

$2 + 9 y = - 26$

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

Subtract $2$ from both sides of the equation.

$9 y = - 26 - 2$

Subtract $2$ from $- 26$ .

$9 y = - 28$

Divide each term in $9 y = - 28$ by $9$ and simplify.

Divide each term in $9 y = - 28$ by $9$ .

$\frac{9 y}{9} = \frac{- 28}{9}$

Simplify the left side.

Cancel the common factor of $9$ .

Cancel the common factor.

$\frac{9 y}{9} = \frac{- 28}{9}$

Divide $y$ by $1$ .

$y = \frac{- 28}{9}$

Simplify the right side.

Move the negative in front of the fraction.

$y = - \frac{28}{9}$

Step 5

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

$- 2 \cdot 0 + 9 y = - 26$

Step 6

Solve the equation for $y$ .

Simplify $- 2 \cdot 0 + 9 y$ .

Multiply $- 2$ by $0$ .

$0 + 9 y = - 26$

Add $0$ and $9 y$ .

$9 y = - 26$

Divide each term in $9 y = - 26$ by $9$ and simplify.

Divide each term in $9 y = - 26$ by $9$ .

$\frac{9 y}{9} = \frac{- 26}{9}$

Simplify the left side.

Cancel the common factor of $9$ .

Cancel the common factor.

$\frac{9 y}{9} = \frac{- 26}{9}$

Divide $y$ by $1$ .

$y = \frac{- 26}{9}$

Simplify the right side.

Move the negative in front of the fraction.

$y = - \frac{26}{9}$

Step 7

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

$- 2 \cdot 1 + 9 y = - 26$

Step 8

Solve the equation for $y$ .

Multiply $- 2$ by $1$ .

$- 2 + 9 y = - 26$

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

Add $2$ to both sides of the equation.

$9 y = - 26 + 2$

Add $- 26$ and $2$ .

$9 y = - 24$

Divide each term in $9 y = - 24$ by $9$ and simplify.

Divide each term in $9 y = - 24$ by $9$ .

$\frac{9 y}{9} = \frac{- 24}{9}$

Simplify the left side.

Cancel the common factor of $9$ .

Cancel the common factor.

$\frac{9 y}{9} = \frac{- 24}{9}$

Divide $y$ by $1$ .

$y = \frac{- 24}{9}$

Simplify the right side.

Cancel the common factor of $- 24$ and $9$ .

Factor $3$ out of $- 24$ .

$y = \frac{3 (- 8)}{9}$

Cancel the common factors.

Factor $3$ out of $9$ .

$y = \frac{3 \cdot - 8}{3 \cdot 3}$

Cancel the common factor.

$y = \frac{3 \cdot - 8}{3 \cdot 3}$

Rewrite the expression.

$y = \frac{- 8}{3}$

Move the negative in front of the fraction.

$y = - \frac{8}{3}$

Step 9

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

$- 2 \cdot 2 + 9 y = - 26$

Step 10

Solve the equation for $y$ .

Multiply $- 2$ by $2$ .

$- 4 + 9 y = - 26$

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

Add $4$ to both sides of the equation.

$9 y = - 26 + 4$

Add $- 26$ and $4$ .

$9 y = - 22$

Divide each term in $9 y = - 22$ by $9$ and simplify.

Divide each term in $9 y = - 22$ by $9$ .

$\frac{9 y}{9} = \frac{- 22}{9}$

Simplify the left side.

Cancel the common factor of $9$ .

Cancel the common factor.

$\frac{9 y}{9} = \frac{- 22}{9}$

Divide $y$ by $1$ .

$y = \frac{- 22}{9}$

Simplify the right side.

Move the negative in front of the fraction.

$y = - \frac{22}{9}$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & - \frac{10}{3} \\ - 1 & - \frac{28}{9} \\ 0 & - \frac{26}{9} \\ 1 & - \frac{8}{3} \\ 2 & - \frac{22}{9} \end{array}$

Step 12

Graph Using a Table of Values -2x+9y=-26

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