Graph Using a Table of Values y=-53.4x+94.2

$y = - 53.4 x + 94.2$

Step 1

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

$y = - 53.4 \cdot - 2 + 94.2$

Step 2

Solve the equation for $y$ .

Remove parentheses.

$y = - 53.4 \cdot - 2 + 94.2$

Simplify $- 53.4 \cdot - 2 + 94.2$ .

Multiply $- 53.4$ by $- 2$ .

$y = 106.8 + 94.2$

Add $106.8$ and $94.2$ .

$y = 201$

Step 3

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

$y = - 53.4 \cdot - 1 + 94.2$

Step 4

Solve the equation for $y$ .

Remove parentheses.

$y = - 53.4 \cdot - 1 + 94.2$

Simplify $- 53.4 \cdot - 1 + 94.2$ .

Multiply $- 53.4$ by $- 1$ .

$y = 53.4 + 94.2$

Add $53.4$ and $94.2$ .

$y = 147.6$

Step 5

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

$y = - 53.4 \cdot 0 + 94.2$

Step 6

Solve the equation for $y$ .

Remove parentheses.

$y = - 53.4 \cdot 0 + 94.2$

Simplify $- 53.4 \cdot 0 + 94.2$ .

Multiply $- 53.4$ by $0$ .

$y = 0 + 94.2$

Add $0$ and $94.2$ .

$y = 94.2$

Step 7

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

$y = - 53.4 \cdot 1 + 94.2$

Step 8

Solve the equation for $y$ .

Remove parentheses.

$y = - 53.4 \cdot 1 + 94.2$

Simplify $- 53.4 \cdot 1 + 94.2$ .

Multiply $- 53.4$ by $1$ .

$y = - 53.4 + 94.2$

Add $- 53.4$ and $94.2$ .

$y = 40.8$

Step 9

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

$y = - 53.4 \cdot 2 + 94.2$

Step 10

Solve the equation for $y$ .

Remove parentheses.

$y = - 53.4 \cdot 2 + 94.2$

Simplify $- 53.4 \cdot 2 + 94.2$ .

Multiply $- 53.4$ by $2$ .

$y = - 106.8 + 94.2$

Add $- 106.8$ and $94.2$ .

$y = - 12.6$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & 201 \\ - 1 & 147.6 \\ 0 & 94.2 \\ 1 & 40.8 \\ 2 & - 12.6 \end{array}$

Step 12

Graph Using a Table of Values y=-53.4x+94.2

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