Graph Using a Table of Values 2x-4y=7

$2 x - 4 y = 7$

Step 1

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

$2 (- 2) - 4 y = 7$

Step 2

Solve the equation for $y$ .

Multiply $2$ by $- 2$ .

$- 4 - 4 y = 7$

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

Add $4$ to both sides of the equation.

$- 4 y = 7 + 4$

Add $7$ and $4$ .

$- 4 y = 11$

Divide each term in $- 4 y = 11$ by $- 4$ and simplify.

Divide each term in $- 4 y = 11$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{11}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{11}{- 4}$

Divide $y$ by $1$ .

$y = \frac{11}{- 4}$

Simplify the right side.

Move the negative in front of the fraction.

$y = - \frac{11}{4}$

Step 3

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

$2 (- 1) - 4 y = 7$

Step 4

Solve the equation for $y$ .

Multiply $2$ by $- 1$ .

$- 2 - 4 y = 7$

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

Add $2$ to both sides of the equation.

$- 4 y = 7 + 2$

Add $7$ and $2$ .

$- 4 y = 9$

Divide each term in $- 4 y = 9$ by $- 4$ and simplify.

Divide each term in $- 4 y = 9$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{9}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{9}{- 4}$

Divide $y$ by $1$ .

$y = \frac{9}{- 4}$

Simplify the right side.

Move the negative in front of the fraction.

$y = - \frac{9}{4}$

Step 5

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

$2 (0) - 4 y = 7$

Step 6

Solve the equation for $y$ .

Simplify $2 (0) - 4 y$ .

Multiply $2$ by $0$ .

$0 - 4 y = 7$

Subtract $4 y$ from $0$ .

$- 4 y = 7$

Divide each term in $- 4 y = 7$ by $- 4$ and simplify.

Divide each term in $- 4 y = 7$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{7}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{7}{- 4}$

Divide $y$ by $1$ .

$y = \frac{7}{- 4}$

Simplify the right side.

Move the negative in front of the fraction.

$y = - \frac{7}{4}$

Step 7

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

$2 (1) - 4 y = 7$

Step 8

Solve the equation for $y$ .

Multiply $2$ by $1$ .

$2 - 4 y = 7$

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

Subtract $2$ from both sides of the equation.

$- 4 y = 7 - 2$

Subtract $2$ from $7$ .

$- 4 y = 5$

Divide each term in $- 4 y = 5$ by $- 4$ and simplify.

Divide each term in $- 4 y = 5$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{5}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{5}{- 4}$

Divide $y$ by $1$ .

$y = \frac{5}{- 4}$

Simplify the right side.

Move the negative in front of the fraction.

$y = - \frac{5}{4}$

Step 9

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

$2 (2) - 4 y = 7$

Step 10

Solve the equation for $y$ .

Multiply $2$ by $2$ .

$4 - 4 y = 7$

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

Subtract $4$ from both sides of the equation.

$- 4 y = 7 - 4$

Subtract $4$ from $7$ .

$- 4 y = 3$

Divide each term in $- 4 y = 3$ by $- 4$ and simplify.

Divide each term in $- 4 y = 3$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{3}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{3}{- 4}$

Divide $y$ by $1$ .

$y = \frac{3}{- 4}$

Simplify the right side.

Move the negative in front of the fraction.

$y = - \frac{3}{4}$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & - \frac{11}{4} \\ - 1 & - \frac{9}{4} \\ 0 & - \frac{7}{4} \\ 1 & - \frac{5}{4} \\ 2 & - \frac{3}{4} \end{array}$

Step 12

Graph Using a Table of Values 2x-4y=7

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