Introduction to Input/Output Tables of Linear Equations

Input/Output Tables of Linear Equations

Input Output Tables

Vocabulary to know:

• Input (x)

• Output (y)

• Linear Equation: y = mx + b

Evaluating Functions

Step 1: Choose 4 values for x.

Step 2: Substitute each value into the equation for x.

Step 3: Solve for y.
Step 4: Write ordered pairs for each equation (x, y).

​-6

​-6

-4

​-6

-4

-2

​-6

-4

-2

0

​-6

-4

-2

0

2

Multiple Choice

Given the linear equation y = 5x - 2, what is the output if the input is 3?

• 13

• 17

• 6

• -1

Multiple Choice

Given the linear equation y = x + 9, what is the output if the input is -1?

• -8

• 8

• 10

• -10

Multiple Choice

Is the following relation linear?

$$y=2x-8$$  

• Yes

• No

Fill in the Blank

Solve for x = 3 in the following equation:

$$y=2x-8$$  

Where we are headed:

​To graph an equation in two variables, we select values for x, substitute them in to the equation, and then solve for y. This gives us a coordinate pair (x, y) that we can plot.

​

​NOTE: When working with functions, we sometimes use function notation which is written f(x) = mx + b, and f(x) stands in place of y.