Graph Using a Table of Values 8x-4y=18

$8 x - 4 y = 18$

Step 1

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

$8 (- 2) - 4 y = 18$

Step 2

Solve the equation for $y$ .

Multiply $8$ by $- 2$ .

$- 16 - 4 y = 18$

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

Add $16$ to both sides of the equation.

$- 4 y = 18 + 16$

Add $18$ and $16$ .

$- 4 y = 34$

Divide each term in $- 4 y = 34$ by $- 4$ and simplify.

Divide each term in $- 4 y = 34$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{34}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{34}{- 4}$

Divide $y$ by $1$ .

$y = \frac{34}{- 4}$

Simplify the right side.

Cancel the common factor of $34$ and $- 4$ .

Factor $2$ out of $34$ .

$y = \frac{2 (17)}{- 4}$

Cancel the common factors.

Factor $2$ out of $- 4$ .

$y = \frac{2 \cdot 17}{2 \cdot - 2}$

Cancel the common factor.

$y = \frac{2 \cdot 17}{2 \cdot - 2}$

Rewrite the expression.

$y = \frac{17}{- 2}$

Move the negative in front of the fraction.

$y = - \frac{17}{2}$

Step 3

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

$8 (- 1) - 4 y = 18$

Step 4

Solve the equation for $y$ .

Multiply $8$ by $- 1$ .

$- 8 - 4 y = 18$

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

Add $8$ to both sides of the equation.

$- 4 y = 18 + 8$

Add $18$ and $8$ .

$- 4 y = 26$

Divide each term in $- 4 y = 26$ by $- 4$ and simplify.

Divide each term in $- 4 y = 26$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{26}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{26}{- 4}$

Divide $y$ by $1$ .

$y = \frac{26}{- 4}$

Simplify the right side.

Cancel the common factor of $26$ and $- 4$ .

Factor $2$ out of $26$ .

$y = \frac{2 (13)}{- 4}$

Cancel the common factors.

Factor $2$ out of $- 4$ .

$y = \frac{2 \cdot 13}{2 \cdot - 2}$

Cancel the common factor.

$y = \frac{2 \cdot 13}{2 \cdot - 2}$

Rewrite the expression.

$y = \frac{13}{- 2}$

Move the negative in front of the fraction.

$y = - \frac{13}{2}$

Step 5

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

$8 (0) - 4 y = 18$

Step 6

Solve the equation for $y$ .

Simplify $8 (0) - 4 y$ .

Multiply $8$ by $0$ .

$0 - 4 y = 18$

Subtract $4 y$ from $0$ .

$- 4 y = 18$

Divide each term in $- 4 y = 18$ by $- 4$ and simplify.

Divide each term in $- 4 y = 18$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{18}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{18}{- 4}$

Divide $y$ by $1$ .

$y = \frac{18}{- 4}$

Simplify the right side.

Cancel the common factor of $18$ and $- 4$ .

Factor $2$ out of $18$ .

$y = \frac{2 (9)}{- 4}$

Cancel the common factors.

Factor $2$ out of $- 4$ .

$y = \frac{2 \cdot 9}{2 \cdot - 2}$

Cancel the common factor.

$y = \frac{2 \cdot 9}{2 \cdot - 2}$

Rewrite the expression.

$y = \frac{9}{- 2}$

Move the negative in front of the fraction.

$y = - \frac{9}{2}$

Step 7

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

$8 (1) - 4 y = 18$

Step 8

Solve the equation for $y$ .

Multiply $8$ by $1$ .

$8 - 4 y = 18$

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

Subtract $8$ from both sides of the equation.

$- 4 y = 18 - 8$

Subtract $8$ from $18$ .

$- 4 y = 10$

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.

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

Step 9

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

$8 (2) - 4 y = 18$

Step 10

Solve the equation for $y$ .

Multiply $8$ by $2$ .

$16 - 4 y = 18$

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

Subtract $16$ from both sides of the equation.

$- 4 y = 18 - 16$

Subtract $16$ from $18$ .

$- 4 y = 2$

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

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

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

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Cancel the common factor of $2$ and $- 4$ .

Factor $2$ out of $2$ .

$y = \frac{2 (1)}{- 4}$

Cancel the common factors.

Factor $2$ out of $- 4$ .

$y = \frac{2 \cdot 1}{2 \cdot - 2}$

Cancel the common factor.

$y = \frac{2 \cdot 1}{2 \cdot - 2}$

Rewrite the expression.

$y = \frac{1}{- 2}$

Move the negative in front of the fraction.

$y = - \frac{1}{2}$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & - \frac{17}{2} \\ - 1 & - \frac{13}{2} \\ 0 & - \frac{9}{2} \\ 1 & - \frac{5}{2} \\ 2 & - \frac{1}{2} \end{array}$

Step 12

Graph Using a Table of Values 8x-4y=18

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