Graph Using a Table of Values -4y=-5x-18

$- 4 y = - 5 x - 18$

Step 1

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

$- 4 y = - 5 \cdot - 2 - 18$

Step 2

Solve the equation for $y$ .

Simplify.

Multiply $- 5$ by $- 2$ .

$- 4 y = 10 - 18$

Subtract $18$ from $10$ .

$- 4 y = - 8$

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

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

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

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Divide $- 8$ by $- 4$ .

$y = 2$

Step 3

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

$- 4 y = - 5 \cdot - 1 - 18$

Step 4

Solve the equation for $y$ .

Simplify.

Multiply $- 5$ by $- 1$ .

$- 4 y = 5 - 18$

Subtract $18$ from $5$ .

$- 4 y = - 13$

Divide each term in $- 4 y = - 13$ by $- 4$ and simplify.

Divide each term in $- 4 y = - 13$ by $- 4$ .

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

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Dividing two negative values results in a positive value.

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

Step 5

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

$- 4 y = - 5 \cdot 0 - 18$

Step 6

Solve the equation for $y$ .

Simplify.

Multiply $- 5$ by $0$ .

$- 4 y = 0 - 18$

Subtract $18$ 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.

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

Step 7

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

$- 4 y = - 5 \cdot 1 - 18$

Step 8

Solve the equation for $y$ .

Simplify.

Multiply $- 5$ by $1$ .

$- 4 y = - 5 - 18$

Subtract $18$ from $- 5$ .

$- 4 y = - 23$

Divide each term in $- 4 y = - 23$ by $- 4$ and simplify.

Divide each term in $- 4 y = - 23$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{- 23}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{- 23}{- 4}$

Divide $y$ by $1$ .

$y = \frac{- 23}{- 4}$

Simplify the right side.

Dividing two negative values results in a positive value.

$y = \frac{23}{4}$

Step 9

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

$- 4 y = - 5 \cdot 2 - 18$

Step 10

Solve the equation for $y$ .

Simplify.

Multiply $- 5$ by $2$ .

$- 4 y = - 10 - 18$

Subtract $18$ from $- 10$ .

$- 4 y = - 28$

Divide each term in $- 4 y = - 28$ by $- 4$ and simplify.

Divide each term in $- 4 y = - 28$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{- 28}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{- 28}{- 4}$

Divide $y$ by $1$ .

$y = \frac{- 28}{- 4}$

Simplify the right side.

Divide $- 28$ by $- 4$ .

$y = 7$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & 2 \\ - 1 & \frac{13}{4} \\ 0 & \frac{9}{2} \\ 1 & \frac{23}{4} \\ 2 & 7 \end{array}$

Step 12

Graph Using a Table of Values -4y=-5x-18

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