Graph Using a Table of Values 10x-8y=16

$10 x - 8 y = 16$

Step 1

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

$10 (- 2) - 8 y = 16$

Step 2

Solve the equation for $y$ .

Multiply $10$ by $- 2$ .

$- 20 - 8 y = 16$

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

Add $20$ to both sides of the equation.

$- 8 y = 16 + 20$

Add $16$ and $20$ .

$- 8 y = 36$

Divide each term in $- 8 y = 36$ by $- 8$ and simplify.

Divide each term in $- 8 y = 36$ by $- 8$ .

$\frac{- 8 y}{- 8} = \frac{36}{- 8}$

Simplify the left side.

Cancel the common factor of $- 8$ .

Cancel the common factor.

$\frac{- 8 y}{- 8} = \frac{36}{- 8}$

Divide $y$ by $1$ .

$y = \frac{36}{- 8}$

Simplify the right side.

Cancel the common factor of $36$ and $- 8$ .

Factor $4$ out of $36$ .

$y = \frac{4 (9)}{- 8}$

Cancel the common factors.

Factor $4$ out of $- 8$ .

$y = \frac{4 \cdot 9}{4 \cdot - 2}$

Cancel the common factor.

$y = \frac{4 \cdot 9}{4 \cdot - 2}$

Rewrite the expression.

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

Move the negative in front of the fraction.

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

Step 3

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

$10 (- 1) - 8 y = 16$

Step 4

Solve the equation for $y$ .

Multiply $10$ by $- 1$ .

$- 10 - 8 y = 16$

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

Add $10$ to both sides of the equation.

$- 8 y = 16 + 10$

Add $16$ and $10$ .

$- 8 y = 26$

Divide each term in $- 8 y = 26$ by $- 8$ and simplify.

Divide each term in $- 8 y = 26$ by $- 8$ .

$\frac{- 8 y}{- 8} = \frac{26}{- 8}$

Simplify the left side.

Cancel the common factor of $- 8$ .

Cancel the common factor.

$\frac{- 8 y}{- 8} = \frac{26}{- 8}$

Divide $y$ by $1$ .

$y = \frac{26}{- 8}$

Simplify the right side.

Cancel the common factor of $26$ and $- 8$ .

Factor $2$ out of $26$ .

$y = \frac{2 (13)}{- 8}$

Cancel the common factors.

Factor $2$ out of $- 8$ .

$y = \frac{2 \cdot 13}{2 \cdot - 4}$

Cancel the common factor.

$y = \frac{2 \cdot 13}{2 \cdot - 4}$

Rewrite the expression.

$y = \frac{13}{- 4}$

Move the negative in front of the fraction.

$y = - \frac{13}{4}$

Step 5

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

$10 (0) - 8 y = 16$

Step 6

Solve the equation for $y$ .

Simplify $10 (0) - 8 y$ .

Multiply $10$ by $0$ .

$0 - 8 y = 16$

Subtract $8 y$ from $0$ .

$- 8 y = 16$

Divide each term in $- 8 y = 16$ by $- 8$ and simplify.

Divide each term in $- 8 y = 16$ by $- 8$ .

$\frac{- 8 y}{- 8} = \frac{16}{- 8}$

Simplify the left side.

Cancel the common factor of $- 8$ .

Cancel the common factor.

$\frac{- 8 y}{- 8} = \frac{16}{- 8}$

Divide $y$ by $1$ .

$y = \frac{16}{- 8}$

Simplify the right side.

Divide $16$ by $- 8$ .

$y = - 2$

Step 7

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

$10 (1) - 8 y = 16$

Step 8

Solve the equation for $y$ .

Multiply $10$ by $1$ .

$10 - 8 y = 16$

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

Subtract $10$ from both sides of the equation.

$- 8 y = 16 - 10$

Subtract $10$ from $16$ .

$- 8 y = 6$

Divide each term in $- 8 y = 6$ by $- 8$ and simplify.

Divide each term in $- 8 y = 6$ by $- 8$ .

$\frac{- 8 y}{- 8} = \frac{6}{- 8}$

Simplify the left side.

Cancel the common factor of $- 8$ .

Cancel the common factor.

$\frac{- 8 y}{- 8} = \frac{6}{- 8}$

Divide $y$ by $1$ .

$y = \frac{6}{- 8}$

Simplify the right side.

Cancel the common factor of $6$ and $- 8$ .

Factor $2$ out of $6$ .

$y = \frac{2 (3)}{- 8}$

Cancel the common factors.

Factor $2$ out of $- 8$ .

$y = \frac{2 \cdot 3}{2 \cdot - 4}$

Cancel the common factor.

$y = \frac{2 \cdot 3}{2 \cdot - 4}$

Rewrite the expression.

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

Move the negative in front of the fraction.

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

Step 9

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

$10 (2) - 8 y = 16$

Step 10

Solve the equation for $y$ .

Multiply $10$ by $2$ .

$20 - 8 y = 16$

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

Subtract $20$ from both sides of the equation.

$- 8 y = 16 - 20$

Subtract $20$ from $16$ .

$- 8 y = - 4$

Divide each term in $- 8 y = - 4$ by $- 8$ and simplify.

Divide each term in $- 8 y = - 4$ by $- 8$ .

$\frac{- 8 y}{- 8} = \frac{- 4}{- 8}$

Simplify the left side.

Cancel the common factor of $- 8$ .

Cancel the common factor.

$\frac{- 8 y}{- 8} = \frac{- 4}{- 8}$

Divide $y$ by $1$ .

$y = \frac{- 4}{- 8}$

Simplify the right side.

Cancel the common factor of $- 4$ and $- 8$ .

Factor $- 4$ out of $- 4$ .

$y = \frac{- 4 (1)}{- 8}$

Cancel the common factors.

Factor $- 4$ out of $- 8$ .

$y = \frac{- 4 \cdot 1}{- 4 \cdot 2}$

Cancel the common factor.

$y = \frac{- 4 \cdot 1}{- 4 \cdot 2}$

Rewrite the expression.

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

Step 11

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

$\begin{array}{c} x & y \\ - 2 & - \frac{9}{2} \\ - 1 & - \frac{13}{4} \\ 0 & - 2 \\ 1 & - \frac{3}{4} \\ 2 & \frac{1}{2} \end{array}$

Step 12

Graph Using a Table of Values 10x-8y=16

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