Graph Using a Table of Values 5Y=6x+6

$5 Y = 6 x + 6$

Step 1

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

$5 Y = 6 (- 2) + 6$

Step 2

Solve the equation for $y$ .

Simplify.

Multiply $6$ by $- 2$ .

$5 Y = - 12 + 6$

Add $- 12$ and $6$ .

$5 Y = - 6$

Divide each term in $5 Y = - 6$ by $5$ and simplify.

Divide each term in $5 Y = - 6$ by $5$ .

$\frac{5 Y}{5} = \frac{- 6}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 Y}{5} = \frac{- 6}{5}$

Divide $Y$ by $1$ .

$Y = \frac{- 6}{5}$

Simplify the right side.

Move the negative in front of the fraction.

$Y = - \frac{6}{5}$

Step 3

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

$5 Y = 6 (- 1) + 6$

Step 4

Solve the equation for $y$ .

Simplify.

Multiply $6$ by $- 1$ .

$5 Y = - 6 + 6$

Add $- 6$ and $6$ .

$5 Y = 0$

Divide each term in $5 Y = 0$ by $5$ and simplify.

Divide each term in $5 Y = 0$ by $5$ .

$\frac{5 Y}{5} = \frac{0}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 Y}{5} = \frac{0}{5}$

Divide $Y$ by $1$ .

$Y = \frac{0}{5}$

Simplify the right side.

Divide $0$ by $5$ .

$Y = 0$

Step 5

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

$5 Y = 6 (0) + 6$

Step 6

Solve the equation for $y$ .

Simplify.

Multiply $6$ by $0$ .

$5 Y = 0 + 6$

Add $0$ and $6$ .

$5 Y = 6$

Divide each term in $5 Y = 6$ by $5$ and simplify.

Divide each term in $5 Y = 6$ by $5$ .

$\frac{5 Y}{5} = \frac{6}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 Y}{5} = \frac{6}{5}$

Divide $Y$ by $1$ .

$Y = \frac{6}{5}$

Step 7

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

$5 Y = 6 (1) + 6$

Step 8

Solve the equation for $y$ .

Simplify.

Multiply $6$ by $1$ .

$5 Y = 6 + 6$

Add $6$ and $6$ .

$5 Y = 12$

Divide each term in $5 Y = 12$ by $5$ and simplify.

Divide each term in $5 Y = 12$ by $5$ .

$\frac{5 Y}{5} = \frac{12}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 Y}{5} = \frac{12}{5}$

Divide $Y$ by $1$ .

$Y = \frac{12}{5}$

Step 9

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

$5 Y = 6 (2) + 6$

Step 10

Solve the equation for $y$ .

Simplify.

Multiply $6$ by $2$ .

$5 Y = 12 + 6$

Add $12$ and $6$ .

$5 Y = 18$

Divide each term in $5 Y = 18$ by $5$ and simplify.

Divide each term in $5 Y = 18$ by $5$ .

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

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

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

Divide $Y$ by $1$ .

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

Step 11

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

$\begin{array}{c} x & y \\ - 2 & - \frac{6}{5} \\ - 1 & 0 \\ 0 & \frac{6}{5} \\ 1 & \frac{12}{5} \\ 2 & \frac{18}{5} \end{array}$

Step 12

Graph Using a Table of Values 5Y=6x+6

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