Graph Using a Table of Values 12x-10y=18

$12 x - 10 y = 18$

Step 1

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

$12 (- 2) - 10 y = 18$

Step 2

Solve the equation for $y$ .

Multiply $12$ by $- 2$ .

$- 24 - 10 y = 18$

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

Add $24$ to both sides of the equation.

$- 10 y = 18 + 24$

Add $18$ and $24$ .

$- 10 y = 42$

Divide each term in $- 10 y = 42$ by $- 10$ and simplify.

Divide each term in $- 10 y = 42$ by $- 10$ .

$\frac{- 10 y}{- 10} = \frac{42}{- 10}$

Simplify the left side.

Cancel the common factor of $- 10$ .

Cancel the common factor.

$\frac{- 10 y}{- 10} = \frac{42}{- 10}$

Divide $y$ by $1$ .

$y = \frac{42}{- 10}$

Simplify the right side.

Cancel the common factor of $42$ and $- 10$ .

Factor $2$ out of $42$ .

$y = \frac{2 (21)}{- 10}$

Cancel the common factors.

Factor $2$ out of $- 10$ .

$y = \frac{2 \cdot 21}{2 \cdot - 5}$

Cancel the common factor.

$y = \frac{2 \cdot 21}{2 \cdot - 5}$

Rewrite the expression.

$y = \frac{21}{- 5}$

Move the negative in front of the fraction.

$y = - \frac{21}{5}$

Step 3

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

$12 (- 1) - 10 y = 18$

Step 4

Solve the equation for $y$ .

Multiply $12$ by $- 1$ .

$- 12 - 10 y = 18$

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

Add $12$ to both sides of the equation.

$- 10 y = 18 + 12$

Add $18$ and $12$ .

$- 10 y = 30$

Divide each term in $- 10 y = 30$ by $- 10$ and simplify.

Divide each term in $- 10 y = 30$ by $- 10$ .

$\frac{- 10 y}{- 10} = \frac{30}{- 10}$

Simplify the left side.

Cancel the common factor of $- 10$ .

Cancel the common factor.

$\frac{- 10 y}{- 10} = \frac{30}{- 10}$

Divide $y$ by $1$ .

$y = \frac{30}{- 10}$

Simplify the right side.

Divide $30$ by $- 10$ .

$y = - 3$

Step 5

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

$12 (0) - 10 y = 18$

Step 6

Solve the equation for $y$ .

Simplify $12 (0) - 10 y$ .

Multiply $12$ by $0$ .

$0 - 10 y = 18$

Subtract $10 y$ from $0$ .

$- 10 y = 18$

Divide each term in $- 10 y = 18$ by $- 10$ and simplify.

Divide each term in $- 10 y = 18$ by $- 10$ .

$\frac{- 10 y}{- 10} = \frac{18}{- 10}$

Simplify the left side.

Cancel the common factor of $- 10$ .

Cancel the common factor.

$\frac{- 10 y}{- 10} = \frac{18}{- 10}$

Divide $y$ by $1$ .

$y = \frac{18}{- 10}$

Simplify the right side.

Cancel the common factor of $18$ and $- 10$ .

Factor $2$ out of $18$ .

$y = \frac{2 (9)}{- 10}$

Cancel the common factors.

Factor $2$ out of $- 10$ .

$y = \frac{2 \cdot 9}{2 \cdot - 5}$

Cancel the common factor.

$y = \frac{2 \cdot 9}{2 \cdot - 5}$

Rewrite the expression.

$y = \frac{9}{- 5}$

Move the negative in front of the fraction.

$y = - \frac{9}{5}$

Step 7

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

$12 (1) - 10 y = 18$

Step 8

Solve the equation for $y$ .

Multiply $12$ by $1$ .

$12 - 10 y = 18$

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

Subtract $12$ from both sides of the equation.

$- 10 y = 18 - 12$

Subtract $12$ from $18$ .

$- 10 y = 6$

Divide each term in $- 10 y = 6$ by $- 10$ and simplify.

Divide each term in $- 10 y = 6$ by $- 10$ .

$\frac{- 10 y}{- 10} = \frac{6}{- 10}$

Simplify the left side.

Cancel the common factor of $- 10$ .

Cancel the common factor.

$\frac{- 10 y}{- 10} = \frac{6}{- 10}$

Divide $y$ by $1$ .

$y = \frac{6}{- 10}$

Simplify the right side.

Cancel the common factor of $6$ and $- 10$ .

Factor $2$ out of $6$ .

$y = \frac{2 (3)}{- 10}$

Cancel the common factors.

Factor $2$ out of $- 10$ .

$y = \frac{2 \cdot 3}{2 \cdot - 5}$

Cancel the common factor.

$y = \frac{2 \cdot 3}{2 \cdot - 5}$

Rewrite the expression.

$y = \frac{3}{- 5}$

Move the negative in front of the fraction.

$y = - \frac{3}{5}$

Step 9

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

$12 (2) - 10 y = 18$

Step 10

Solve the equation for $y$ .

Multiply $12$ by $2$ .

$24 - 10 y = 18$

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

Subtract $24$ from both sides of the equation.

$- 10 y = 18 - 24$

Subtract $24$ from $18$ .

$- 10 y = - 6$

Divide each term in $- 10 y = - 6$ by $- 10$ and simplify.

Divide each term in $- 10 y = - 6$ by $- 10$ .

$\frac{- 10 y}{- 10} = \frac{- 6}{- 10}$

Simplify the left side.

Cancel the common factor of $- 10$ .

Cancel the common factor.

$\frac{- 10 y}{- 10} = \frac{- 6}{- 10}$

Divide $y$ by $1$ .

$y = \frac{- 6}{- 10}$

Simplify the right side.

Cancel the common factor of $- 6$ and $- 10$ .

Factor $- 2$ out of $- 6$ .

$y = \frac{- 2 (3)}{- 10}$

Cancel the common factors.

Factor $- 2$ out of $- 10$ .

$y = \frac{- 2 \cdot 3}{- 2 \cdot 5}$

Cancel the common factor.

$y = \frac{- 2 \cdot 3}{- 2 \cdot 5}$

Rewrite the expression.

$y = \frac{3}{5}$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & - \frac{21}{5} \\ - 1 & - 3 \\ 0 & - \frac{9}{5} \\ 1 & - \frac{3}{5} \\ 2 & \frac{3}{5} \end{array}$

Step 12

Graph Using a Table of Values 12x-10y=18

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