Graph Using a Table of Values 2y-4x=0

$2 y - 4 x = 0$

Step 1

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

$2 y - 4 \cdot - 2 = 0$

Step 2

Solve the equation for $y$ .

Multiply $- 4$ by $- 2$ .

$2 y + 8 = 0$

Subtract $8$ from both sides of the equation.

$2 y = - 8$

Divide each term in $2 y = - 8$ by $2$ and simplify.

Divide each term in $2 y = - 8$ by $2$ .

$\frac{2 y}{2} = \frac{- 8}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} = \frac{- 8}{2}$

Divide $y$ by $1$ .

$y = \frac{- 8}{2}$

Simplify the right side.

Divide $- 8$ by $2$ .

$y = - 4$

Step 3

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

$2 y - 4 \cdot - 1 = 0$

Step 4

Solve the equation for $y$ .

Multiply $- 4$ by $- 1$ .

$2 y + 4 = 0$

Subtract $4$ from both sides of the equation.

$2 y = - 4$

Divide each term in $2 y = - 4$ by $2$ and simplify.

Divide each term in $2 y = - 4$ by $2$ .

$\frac{2 y}{2} = \frac{- 4}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} = \frac{- 4}{2}$

Divide $y$ by $1$ .

$y = \frac{- 4}{2}$

Simplify the right side.

Divide $- 4$ by $2$ .

$y = - 2$

Step 5

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

$2 y - 4 \cdot 0 = 0$

Step 6

Solve the equation for $y$ .

Simplify $2 y - 4 \cdot 0$ .

Multiply $- 4$ by $0$ .

$2 y + 0 = 0$

Add $2 y$ and $0$ .

$2 y = 0$

Divide each term in $2 y = 0$ by $2$ and simplify.

Divide each term in $2 y = 0$ by $2$ .

$\frac{2 y}{2} = \frac{0}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} = \frac{0}{2}$

Divide $y$ by $1$ .

$y = \frac{0}{2}$

Simplify the right side.

Divide $0$ by $2$ .

$y = 0$

Step 7

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

$2 y - 4 \cdot 1 = 0$

Step 8

Solve the equation for $y$ .

Multiply $- 4$ by $1$ .

$2 y - 4 = 0$

Add $4$ to both sides of the equation.

$2 y = 4$

Divide each term in $2 y = 4$ by $2$ and simplify.

Divide each term in $2 y = 4$ by $2$ .

$\frac{2 y}{2} = \frac{4}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} = \frac{4}{2}$

Divide $y$ by $1$ .

$y = \frac{4}{2}$

Simplify the right side.

Divide $4$ by $2$ .

$y = 2$

Step 9

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

$2 y - 4 \cdot 2 = 0$

Step 10

Solve the equation for $y$ .

Multiply $- 4$ by $2$ .

$2 y - 8 = 0$

Add $8$ to both sides of the equation.

$2 y = 8$

Divide each term in $2 y = 8$ by $2$ and simplify.

Divide each term in $2 y = 8$ by $2$ .

$\frac{2 y}{2} = \frac{8}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} = \frac{8}{2}$

Divide $y$ by $1$ .

$y = \frac{8}{2}$

Simplify the right side.

Divide $8$ by $2$ .

$y = 4$

Step 11

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

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

Step 12

Graph Using a Table of Values 2y-4x=0

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