Mr. Dreyer

Algebra 2 Lv 1

1Warmup

2. Welcome/expectations signatures on desk
3. Got calculators?
4. Write down homework: Read Section 2.2, p. 75-78. Problems: 2-9, 11, 13, 15, 17, 19, 23, 29, 31, 36, 45, 47-49, 53 (prove it), 54-56

5. What equation has as its solutions the graph shown?

2Slope

Pay attention! Slope is one of the essential notions in calculus!

Definition. The slope of a line passing through the points $(x_1,y_1)$ and $(x_2,y_2)$ is$$$$

(Work examples)

1. What is the slope of a horizontal line?
2. A vertical line?
3. How can you tell algebraically which of two lines is steeper?
4. How do positive and negative slope look on a graph?
5. How are slopes related on parallel lines?
6. How are slopes related on perpendicular lines?
7. What happens if you switch the order of the points?

3Rate of change

1. How is slope (a graphical idea) related to rate of change (a numerical idea)?

4Classwork/homework