Graph Using a Table of Values 5y=4x-20

$5 y = 4 x - 20$

Step 1

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

$5 y = 4 (- 2) - 20$

Step 2

Solve the equation for $y$ .

Simplify.

Multiply $4$ by $- 2$ .

$5 y = - 8 - 20$

Subtract $20$ from $- 8$ .

$5 y = - 28$

Divide each term in $5 y = - 28$ by $5$ and simplify.

Divide each term in $5 y = - 28$ by $5$ .

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

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Move the negative in front of the fraction.

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

Step 3

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

$5 y = 4 (- 1) - 20$

Step 4

Solve the equation for $y$ .

Simplify.

Multiply $4$ by $- 1$ .

$5 y = - 4 - 20$

Subtract $20$ from $- 4$ .

$5 y = - 24$

Divide each term in $5 y = - 24$ by $5$ and simplify.

Divide each term in $5 y = - 24$ by $5$ .

$\frac{5 y}{5} = \frac{- 24}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 y}{5} = \frac{- 24}{5}$

Divide $y$ by $1$ .

$y = \frac{- 24}{5}$

Simplify the right side.

Move the negative in front of the fraction.

$y = - \frac{24}{5}$

Step 5

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

$5 y = 4 (0) - 20$

Step 6

Solve the equation for $y$ .

Simplify.

Multiply $4$ by $0$ .

$5 y = 0 - 20$

Subtract $20$ from $0$ .

$5 y = - 20$

Divide each term in $5 y = - 20$ by $5$ and simplify.

Divide each term in $5 y = - 20$ by $5$ .

$\frac{5 y}{5} = \frac{- 20}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 y}{5} = \frac{- 20}{5}$

Divide $y$ by $1$ .

$y = \frac{- 20}{5}$

Simplify the right side.

Divide $- 20$ by $5$ .

$y = - 4$

Step 7

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

$5 y = 4 (1) - 20$

Step 8

Solve the equation for $y$ .

Simplify.

Multiply $4$ by $1$ .

$5 y = 4 - 20$

Subtract $20$ from $4$ .

$5 y = - 16$

Divide each term in $5 y = - 16$ by $5$ and simplify.

Divide each term in $5 y = - 16$ by $5$ .

$\frac{5 y}{5} = \frac{- 16}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 y}{5} = \frac{- 16}{5}$

Divide $y$ by $1$ .

$y = \frac{- 16}{5}$

Simplify the right side.

Move the negative in front of the fraction.

$y = - \frac{16}{5}$

Step 9

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

$5 y = 4 (2) - 20$

Step 10

Solve the equation for $y$ .

Simplify.

Multiply $4$ by $2$ .

$5 y = 8 - 20$

Subtract $20$ from $8$ .

$5 y = - 12$

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 $1$ .

$y = \frac{- 12}{5}$

Simplify the right side.

Move the negative in front of the fraction.

$y = - \frac{12}{5}$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & - \frac{28}{5} \\ - 1 & - \frac{24}{5} \\ 0 & - 4 \\ 1 & - \frac{16}{5} \\ 2 & - \frac{12}{5} \end{array}$

Step 12

Graph Using a Table of Values 5y=4x-20

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