1. Linear Graphing LG2
EXPLORING
SLOPE
6/2/2006

2. Mountains have slopes…..

3. ..and so do lines.

4. A skier can go DOWN this slope

5. When you think of DOWN, you think of NEGATIVE
This line, like the mountain, has a negative slope

6. You can also run UP the mountain

7. When you think of UP, you think POSITIVE
This line, like the mountain, has a POSITIVE slope

8. Does this mountain have a slope??
Slope ?? This has zero slope!

9. Horizontal lines have a slope of ZERO.

10. Slope starts at ZERO and slowly increases as the line goes UP.
Still increasing
Still increasing
Slope increasing
0 slope

11. What do you think the slope of a vertical line would be ??
This is not a slope, it is a cliff!
The slope of a vertical line is UNDEFINED!

12. NEGATIVE Let’s review what we learned about slope.
A line that goes DOWN from left to right has what kind of slope???
NEGATIVE

13. A line that goes UP from left to right has what kind of slope???
POSITIVE

14. What kind of line has a slope of zero??
HORIZONTAL

15. What is the slope of this line??
UNDEFINED

16. One more time…. + -
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17. How do you figure that out?
OK, now that you can identify whether a line has a positive or negative slope, let’s learn how to determine the value of the slope.
This line has a slope of 1.
How do you figure that out?

18. Or in easy terms, it is RISE divided by RUN
First, you need to know a few facts about slope.
Slope is the ratio of the change in y to the change in x.
Or in easy terms, it is RISE divided by RUN

19. This gives you the ratio
Look at your line and identify two points between which you can determine the slope.
What is the rise ?
RIGHT 2
What is the run?
UP 2
This gives you the ratio

20. Let’s try another one. So the slope is RIGHT 3 Choose two points
Count your rise
UP 2
Count your run
So the slope is

21. This one is a little different.
Choose two points
Count your rise
DOWN 1 or 1
DOWN 1
RIGHT 2
Count your run
RIGHT 2
The slope is