Graph Using a Table of Values 4y=3x-12

$4 y = 3 x - 12$

Step 1

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

$4 y = 3 (- 2) - 12$

Step 2

Solve the equation for $y$ .

Simplify.

Multiply $3$ by $- 2$ .

$4 y = - 6 - 12$

Subtract $12$ from $- 6$ .

$4 y = - 18$

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 3

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

$4 y = 3 (- 1) - 12$

Step 4

Solve the equation for $y$ .

Simplify.

Multiply $3$ by $- 1$ .

$4 y = - 3 - 12$

Subtract $12$ from $- 3$ .

$4 y = - 15$

Divide each term in $4 y = - 15$ by $4$ and simplify.

Divide each term in $4 y = - 15$ by $4$ .

$\frac{4 y}{4} = \frac{- 15}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 y}{4} = \frac{- 15}{4}$

Divide $y$ by $1$ .

$y = \frac{- 15}{4}$

Simplify the right side.

Move the negative in front of the fraction.

$y = - \frac{15}{4}$

Step 5

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

$4 y = 3 (0) - 12$

Step 6

Solve the equation for $y$ .

Simplify.

Multiply $3$ by $0$ .

$4 y = 0 - 12$

Subtract $12$ from $0$ .

$4 y = - 12$

Divide each term in $4 y = - 12$ by $4$ and simplify.

Divide each term in $4 y = - 12$ by $4$ .

$\frac{4 y}{4} = \frac{- 12}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 y}{4} = \frac{- 12}{4}$

Divide $y$ by $1$ .

$y = \frac{- 12}{4}$

Simplify the right side.

Divide $- 12$ by $4$ .

$y = - 3$

Step 7

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

$4 y = 3 (1) - 12$

Step 8

Solve the equation for $y$ .

Simplify.

Multiply $3$ by $1$ .

$4 y = 3 - 12$

Subtract $12$ from $3$ .

$4 y = - 9$

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 9

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

$4 y = 3 (2) - 12$

Step 10

Solve the equation for $y$ .

Simplify.

Multiply $3$ by $2$ .

$4 y = 6 - 12$

Subtract $12$ from $6$ .

$4 y = - 6$

Divide each term in $4 y = - 6$ by $4$ and simplify.

Divide each term in $4 y = - 6$ by $4$ .

$\frac{4 y}{4} = \frac{- 6}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 y}{4} = \frac{- 6}{4}$

Divide $y$ by $1$ .

$y = \frac{- 6}{4}$

Simplify the right side.

Cancel the common factor of $- 6$ and $4$ .

Factor $2$ out of $- 6$ .

$y = \frac{2 (- 3)}{4}$

Cancel the common factors.

Factor $2$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Move the negative in front of the fraction.

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

Step 11

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

$\begin{array}{c} x & y \\ - 2 & - \frac{9}{2} \\ - 1 & - \frac{15}{4} \\ 0 & - 3 \\ 1 & - \frac{9}{4} \\ 2 & - \frac{3}{2} \end{array}$

Step 12

Graph Using a Table of Values 4y=3x-12

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