1. Warm Up

2. HW Check – 4.3

3. CORE Time – Rate of Change Stations Activity
Fold your paper so that you have 4 boxes on front & back. Label them A, B, C, D & E Stations are hung around the room You must visit each of the 5 stations in the next 30 minutes. No more then 3 people per station at any time!

4. Slope of a line

5. What is the meaning of this sign?
Icy Road Ahead
Steep Road Ahead
Curvy Road Ahead
Trucks Entering Highway Ahead

6. What does the 7% mean? So, what is the meaning of slope???
7% is the slope of the road. It means the road rises 7 feet vertically for every 100 feet horizontally.
7 feet
100 feet
So, what is the meaning of slope???
Slope is the steepness of a line.

7. 1) Determine the slope (rate of Change) of the line.
When given the graph, it is easier to apply “rise over run”. Rise – is the vertical change.
Run – is the horizontal change.

8. Find the slope: 2) 3)

9. A line has a positive slope if it is going uphill from left to right.
Slope can be expressed different ways: ****Slope is the same as rate of change****
A line has a positive slope if it is going uphill from left to right.
A line has a negative slope if it is
going downhill from left to right.

10. When given points, it is easier to use the formula!
2) Find the slope (rate of change) of the line that passes through the points (-2, -2) and (4, 1).
When given points, it is easier to use the formula!

11. Find the slope (rate of change) of the line that passes through (3, 5) and (-1, 4).

12. You try!
Find the slope of the line that goes through the points (-5, 3) and (2, 1).

13. What is the slope of a horizontal line?
H0y
The line doesn’t rise!
All horizontal lines have a slope of 0.

14. What is the slope of a vertical line?
VuX
The line doesn’t run!
All vertical lines have an undefined slope.

16. VuX and H0y
VuX: Vertical lines have undefined slope with an equation x = a number.
HOy: Horizontal lines have zero as their slope with an equation y = a number.

17. Coming up…
HW 4.3 tonight
Quiz 4.1 – Friday