**Definition of Linear Function**

- A function that can be graphically represented in the Cartesian coordinate plane by a straight line is called a Linear Function.

**More about Linear Function**

- A linear function is a first degree polynomial of the form,
*F(x*) =*m**x*+*c*, where*m*and*c*are constants and*x*is a real variable. - The constant
*m*is called slope and*c*is called*y*-intercept.

**Examples of Linear Function**

*y*= 3*x*+ 5 is a linear function.- The graph of the function
*y*= 2*x*is shown below. This is a linear function since the points fit onto a straight line.

**Solved Example on Linear Function**

Identify the graph that represents a linear function.

Choices:

A. Graph 1

B. Graph 3

C. Graph 4

D. Graph 2

Correct Answer: C

Solution:

Step 1:The graph of a linear function is a straight line.

Step 2:Graph 4 is a straight line.

Step 3:So, Graph 4 represents a linear function.

**Related Terms for Linear Function**

- Cartesian Coordinates
- Coordinate Plane
- Function
- Plane
- Straight Line