Graph Using a Table of Values y=3.5x-2

$y = 3.5 x - 2$

Step 1

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

$y = 3.5 (- 2) - 2$

Step 2

Simplify $3.5 (- 2) - 2$ .

Multiply $3.5$ by $- 2$ .

$y = - 7 - 2$

Subtract $2$ from $- 7$ .

$y = - 9$

Step 3

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

$y = 3.5 (- 1) - 2$

Step 4

Simplify $3.5 (- 1) - 2$ .

Multiply $3.5$ by $- 1$ .

$y = - 3.5 - 2$

Subtract $2$ from $- 3.5$ .

$y = - 5.5$

Step 5

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

$y = 3.5 (0) - 2$

Step 6

Solve the equation for $y$ .

Remove parentheses.

$y = 3.5 (0) - 2$

Simplify $3.5 (0) - 2$ .

Multiply $3.5$ by $0$ .

$y = 0 - 2$

Subtract $2$ from $0$ .

$y = - 2$

Step 7

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

$y = 3.5 (1) - 2$

Step 8

Solve the equation for $y$ .

Remove parentheses.

$y = 3.5 (1) - 2$

Simplify $3.5 (1) - 2$ .

Multiply $3.5$ by $1$ .

$y = 3.5 - 2$

Subtract $2$ from $3.5$ .

$y = 1.5$

Step 9

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

$y = 3.5 (2) - 2$

Step 10

Solve the equation for $y$ .

Remove parentheses.

$y = 3.5 (2) - 2$

Simplify $3.5 (2) - 2$ .

Multiply $3.5$ by $2$ .

$y = 7 - 2$

Subtract $2$ from $7$ .

$y = 5$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & - 9 \\ - 1 & - 5.5 \\ 0 & - 2 \\ 1 & 1.5 \\ 2 & 5 \end{array}$

Step 12

Graph Using a Table of Values y=3.5x-2

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