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

$5 x - 4 y = 20$

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

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

Solve the equation for $y$ .

Multiply $5$ by $- 2$ .

$- 10 - 4 y = 20$

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

Add $10$ to both sides of the equation.

$- 4 y = 20 + 10$

Add $20$ and $10$ .

$- 4 y = 30$

Divide each term in $- 4 y = 30$ by $- 4$ and simplify.

Divide each term in $- 4 y = 30$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{30}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{30}{- 4}$

Divide $y$ by $1$ .

$y = \frac{30}{- 4}$

Simplify the right side.

Cancel the common factor of $30$ and $- 4$ .

Factor $2$ out of $30$ .

$y = \frac{2 (15)}{- 4}$

Cancel the common factors.

Factor $2$ out of $- 4$ .

$y = \frac{2 \cdot 15}{2 \cdot - 2}$

Cancel the common factor.

$y = \frac{2 \cdot 15}{2 \cdot - 2}$

Rewrite the expression.

$y = \frac{15}{- 2}$

Move the negative in front of the fraction.

$y = - \frac{15}{2}$

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

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

Solve the equation for $y$ .

Multiply $5$ by $- 1$ .

$- 5 - 4 y = 20$

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

Add $5$ to both sides of the equation.

$- 4 y = 20 + 5$

Add $20$ and $5$ .

$- 4 y = 25$

Divide each term in $- 4 y = 25$ by $- 4$ and simplify.

Divide each term in $- 4 y = 25$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{25}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{25}{- 4}$

Divide $y$ by $1$ .

$y = \frac{25}{- 4}$

Simplify the right side.

Move the negative in front of the fraction.

$y = - \frac{25}{4}$

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

$5 (0) - 4 y = 20$

Solve the equation for $y$ .

Simplify $5 (0) - 4 y$ .

Multiply $5$ by $0$ .

$0 - 4 y = 20$

Subtract $4 y$ from $0$ .

$- 4 y = 20$

Divide each term in $- 4 y = 20$ by $- 4$ and simplify.

Divide each term in $- 4 y = 20$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{20}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{20}{- 4}$

Divide $y$ by $1$ .

$y = \frac{20}{- 4}$

Simplify the right side.

Divide $20$ by $- 4$ .

$y = - 5$

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

$5 (1) - 4 y = 20$

Solve the equation for $y$ .

Multiply $5$ by $1$ .

$5 - 4 y = 20$

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

Subtract $5$ from both sides of the equation.

$- 4 y = 20 - 5$

Subtract $5$ from $20$ .

$- 4 y = 15$

Divide each term in $- 4 y = 15$ by $- 4$ and simplify.

Divide each term in $- 4 y = 15$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{15}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{15}{- 4}$

Divide $y$ by $1$ .

$y = \frac{15}{- 4}$

Simplify the right side.

Move the negative in front of the fraction.

$y = - \frac{15}{4}$

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

$5 (2) - 4 y = 20$

Solve the equation for $y$ .

Multiply $5$ by $2$ .

$10 - 4 y = 20$

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

Subtract $10$ from both sides of the equation.

$- 4 y = 20 - 10$

Subtract $10$ from $20$ .

$- 4 y = 10$

Divide each term in $- 4 y = 10$ by $- 4$ and simplify.

Divide each term in $- 4 y = 10$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{10}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{10}{- 4}$

Divide $y$ by $1$ .

$y = \frac{10}{- 4}$

Simplify the right side.

Cancel the common factor of $10$ and $- 4$ .

Factor $2$ out of $10$ .

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

Cancel the common factors.

Factor $2$ out of $- 4$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Move the negative in front of the fraction.

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

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

$\begin{array}{c} x & y \\ - 2 & - \frac{15}{2} \\ - 1 & - \frac{25}{4} \\ 0 & - 5 \\ 1 & - \frac{15}{4} \\ 2 & - \frac{5}{2} \end{array}$

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

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