1. Dr. Fowler  CCM
Slope - Easier

3. Slope can be expressed different ways:
What is Slope?
Slope is the rate of change of a line
Slope can be expressed different ways:
change in y
change in x
We use the letter m because the French word for “to go up” is monter.
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.

4. Slope Mountain Ski Resort No Notes Needed – Just Watch T. Merrill 2005
Positive slope,
+ work
Negative slope,
- work
Zero slope is zero fun!
NO slope.
Oh No!!!!
Slope Mountain
Ski Resort
No Notes Needed – Just Watch
T. Merrill 2005

5. Determine the slope of the line.
Start with the lower point and count how much you rise and run to get to the other point!
rise 3 = =
run 6 6 3
Notice the slope is positive AND the line increases!

6. Second Way – Pick 2 points on the graph (-2, -2) and (4, 1).
Use the formula!
y2 is the 2nd y… (y2 = 1)
y1 is the 1st y… (y1 = -2)
Notice you get the same answer either way. Which do you think is easiest?  Rise/Run or pick 2 points?

7. Slope of a Graphed Line Find the slope of each line below
Find the slope of each line below. Volunteer for first? x y
Slopes:
Find the slope of each line below 4 4

8. Given two points on a line, find the slope:
1. (9, 2), (8, -7) X1 y1 X2 y2
2. (-4, 4), (-7, 2)
3. (5, -1), (9, -4)

9. Given two points on a line, find the slope:
4. (5, 2), (1, 0) X1 y1 X2 y2
Undefined NO slope
5. (3, -3), (3, -1)
6. (-4, -2), (4, -2)

10. If it is linear it will be the same no matter which two rows you pick
Slope of a Table
In a table we can use the same formula. Pick any two pairs in the table for coordinates
Pick any two rows.
If it is linear it will be the same
no matter which two rows you pick x y -4
-17 1 -2 3 4 8 19 10 25 x1 y1 x2 y2

11. Slope of a Table Find the slope for each table below x y -10 17 -5 10
4.4 5 -4
-11 x y -3 -8 -1 1 4

12. Given an equation of a line, find the
slope and y-intercept.
y = mx + b.
m = slope
b = y-intercept
Example: Find the slope and y-intercept:
1) y = 3x + ½
slope= 3
y-intercept = ½

13. The End

14. Excellent Job !!! Well Done

15. Stop Notes
Do Worksheet