1. Lesson 3 (Linear Functions) Review: What is a linear function? What does it look like? Linear functions are in the form of y=mx+b. They form a straight line when graphed. The x variable cannot have an exponent other than 1 and it cannot be on the bottom of a fraction.

2. Lesson 3 (Linear Functions) Examples y=2x+4 d=4.5t y=5x 2 y=1/x+6

3. Lesson 3 (Linear Functions) Always look at more than one way to determine if a function is linear. Is the function represented by the following table linear?

4. Lesson 3 (Linear Functions) Examples Does the equation 6x + 5y = 4 represent the same linear function as the table? Does the equation x – 2y = 4 represent the same linear function as the table?

5. Lesson 3 (Linear Functions) Examples: Decide whether each of the following situations would represent a linear function: ◦The perimeter of a regular pentagon with a side length of x units. ◦The volume of a cube with a edge of x units. ◦The value of x nickels and x quarters. ◦The amount of a 10% commission earned on sales of x dollars.