## Related Words

# Linear Function

## 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.

### Example of Linear Function

y = 3x + 5 is a linear function.

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

### Video Examples: Graphing Linear Functions by Finding X,Y Intercept

### Solved Example on Linear Function

**Ques: **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.

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