Graph Using a Table of Values y+2=4/5(x+9)

$y + 2 = \frac{4}{5} (x + 9)$

Step 1

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

$y + 2 = \frac{4}{5} \cdot ((- 2) + 9)$

Step 2

Solve the equation for $y$ .

Simplify $\frac{4}{5} \cdot ((- 2) + 9)$ .

Rewrite.

$y + 2 = 0 + 0 + \frac{4}{5} \cdot ((- 2) + 9)$

Simplify by adding zeros.

$y + 2 = \frac{4}{5} \cdot ((- 2) + 9)$

Add $- 2$ and $9$ .

$y + 2 = \frac{4}{5} \cdot 7$

Multiply $\frac{4}{5} \cdot 7$ .

Combine $\frac{4}{5}$ and $7$ .

$y + 2 = \frac{4 \cdot 7}{5}$

Multiply $4$ by $7$ .

$y + 2 = \frac{28}{5}$

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

Subtract $2$ from both sides of the equation.

$y = \frac{28}{5} - 2$

To write $- 2$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$y = \frac{28}{5} - 2 \cdot \frac{5}{5}$

Combine $- 2$ and $\frac{5}{5}$ .

$y = \frac{28}{5} + \frac{- 2 \cdot 5}{5}$

Combine the numerators over the common denominator.

$y = \frac{28 - 2 \cdot 5}{5}$

Simplify the numerator.

Multiply $- 2$ by $5$ .

$y = \frac{28 - 10}{5}$

Subtract $10$ from $28$ .

$y = \frac{18}{5}$

Step 3

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

$y + 2 = \frac{4}{5} \cdot ((- 1) + 9)$

Step 4

Solve the equation for $y$ .

Simplify $\frac{4}{5} \cdot ((- 1) + 9)$ .

Rewrite.

$y + 2 = 0 + 0 + \frac{4}{5} \cdot ((- 1) + 9)$

Simplify by adding zeros.

$y + 2 = \frac{4}{5} \cdot ((- 1) + 9)$

Add $- 1$ and $9$ .

$y + 2 = \frac{4}{5} \cdot 8$

Multiply $\frac{4}{5} \cdot 8$ .

Combine $\frac{4}{5}$ and $8$ .

$y + 2 = \frac{4 \cdot 8}{5}$

Multiply $4$ by $8$ .

$y + 2 = \frac{32}{5}$

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

Subtract $2$ from both sides of the equation.

$y = \frac{32}{5} - 2$

To write $- 2$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$y = \frac{32}{5} - 2 \cdot \frac{5}{5}$

Combine $- 2$ and $\frac{5}{5}$ .

$y = \frac{32}{5} + \frac{- 2 \cdot 5}{5}$

Combine the numerators over the common denominator.

$y = \frac{32 - 2 \cdot 5}{5}$

Simplify the numerator.

Multiply $- 2$ by $5$ .

$y = \frac{32 - 10}{5}$

Subtract $10$ from $32$ .

$y = \frac{22}{5}$

Step 5

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

$y + 2 = \frac{4}{5} \cdot ((0) + 9)$

Step 6

Solve the equation for $y$ .

Simplify $\frac{4}{5} \cdot ((0) + 9)$ .

Add $0$ and $9$ .

$y + 2 = \frac{4}{5} \cdot 9$

Multiply $\frac{4}{5} \cdot 9$ .

Combine $\frac{4}{5}$ and $9$ .

$y + 2 = \frac{4 \cdot 9}{5}$

Multiply $4$ by $9$ .

$y + 2 = \frac{36}{5}$

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

Subtract $2$ from both sides of the equation.

$y = \frac{36}{5} - 2$

To write $- 2$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$y = \frac{36}{5} - 2 \cdot \frac{5}{5}$

Combine $- 2$ and $\frac{5}{5}$ .

$y = \frac{36}{5} + \frac{- 2 \cdot 5}{5}$

Combine the numerators over the common denominator.

$y = \frac{36 - 2 \cdot 5}{5}$

Simplify the numerator.

Multiply $- 2$ by $5$ .

$y = \frac{36 - 10}{5}$

Subtract $10$ from $36$ .

$y = \frac{26}{5}$

Step 7

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

$y + 2 = \frac{4}{5} \cdot ((1) + 9)$

Step 8

Solve the equation for $y$ .

Simplify $\frac{4}{5} \cdot ((1) + 9)$ .

Rewrite.

$y + 2 = 0 + 0 + \frac{4}{5} \cdot ((1) + 9)$

Add $1$ and $9$ .

$y + 2 = \frac{4}{5} \cdot 10$

Cancel the common factor of $5$ .

Factor $5$ out of $10$ .

$y + 2 = \frac{4}{5} \cdot (5 (2))$

Cancel the common factor.

$y + 2 = \frac{4}{5} \cdot (5 \cdot 2)$

Rewrite the expression.

$y + 2 = 4 \cdot 2$

Multiply $4$ by $2$ .

$y + 2 = 8$

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

Subtract $2$ from both sides of the equation.

$y = 8 - 2$

Subtract $2$ from $8$ .

$y = 6$

Step 9

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

$y + 2 = \frac{4}{5} \cdot ((2) + 9)$

Step 10

Solve the equation for $y$ .

Simplify $\frac{4}{5} \cdot ((2) + 9)$ .

Rewrite.

$y + 2 = 0 + 0 + \frac{4}{5} \cdot ((2) + 9)$

Simplify by adding zeros.

$y + 2 = \frac{4}{5} \cdot ((2) + 9)$

Add $2$ and $9$ .

$y + 2 = \frac{4}{5} \cdot 11$

Multiply $\frac{4}{5} \cdot 11$ .

Combine $\frac{4}{5}$ and $11$ .

$y + 2 = \frac{4 \cdot 11}{5}$

Multiply $4$ by $11$ .

$y + 2 = \frac{44}{5}$

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

Subtract $2$ from both sides of the equation.

$y = \frac{44}{5} - 2$

To write $- 2$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$y = \frac{44}{5} - 2 \cdot \frac{5}{5}$

Combine $- 2$ and $\frac{5}{5}$ .

$y = \frac{44}{5} + \frac{- 2 \cdot 5}{5}$

Combine the numerators over the common denominator.

$y = \frac{44 - 2 \cdot 5}{5}$

Simplify the numerator.

Multiply $- 2$ by $5$ .

$y = \frac{44 - 10}{5}$

Subtract $10$ from $44$ .

$y = \frac{34}{5}$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & \frac{18}{5} \\ - 1 & \frac{22}{5} \\ 0 & \frac{26}{5} \\ 1 & 6 \\ 2 & \frac{34}{5} \end{array}$

Step 12

Graph Using a Table of Values y+2=4/5(x+9)

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