1. The ratio of the vertical change to the horizontal change
SLOPE
The ratio of the vertical change to the horizontal change

2. Slope is the measure of the steepness of a line!
IN LAYMAN’S TERMS:
Slope is the measure of the steepness of a line!

3. HOW IT’S FIGURED: there are two ways
Also know as:
Rise
Run
VERTICAL CHANGE
___________________
STEEPNESS =
HORIZONTAL CHANGE
**OR**
Change in Y-axis
___________________
SLOPE (m) =
Change in X-axis

4. Find the slope of the hill

5. Find the slope of the hill

6. And the answer is…. 3
2.5

7. Find the Slope of the Slide

8. Find the Slope of the slide

9. And the answer is… or
2 1

10. Find the slope of the rollercoaster

11. Find the slope of the rollercoaster

12. And the answer is…. 7
- 2.5

13. Find the slope of the mountain

14. Find the slope of the mountain

15. And the answer is…. 5
- 4

16. Solve by graphing:
• A line goes
through points
(-3,5) and (2,1)

17. • Start at the left dot and count down till you’re
To solve by
graphing:
• Start at the left dot and count down till you’re
even with the right dot.

18. • Start at the left dot and count down till you’re
To solve by graphing:
• Start at the left dot and count down till you’re
even with the right dot.

19. • Now count over till you reach
To solve by graphing:
• Now count over till you reach
the right dot.

20. And the answer is….
4 down, 4 to the right -4 5

21. To solve by formula, simply replace
the x and y values with the x and y
values of the points.
(-3,5) and (2,1)
y1 – y2
x1-x2
Hint!
(-3[x1], 5[y1]) and (2 [x2], 1 [y2]

22. And the answer is…
5 –
-3 –
There the same answer!

23. WORK TIME! In your groups
Find the slope of a line that
contains points A(-2, 5) B(4, -5)

24. HERE’S HOW YOU SOLVE IT:
Change in Y-axis
___________________
SLOPE (m) =
Change in X-axis
5 – (-5)
___________________
m of line AB =
-2 - 4 10
___________________ = -6 5
___________ - = 3

25. NOW TRY THESE ON YOUR OWN
Find the slope of a line that
contains each pair of points:
R(9, -2) S(3, -5)
M(7, -4) N(9, 4)

26. True or False??
ALL HORIZONTAL LINES
HAVE THE SAME SLOPE

27. TRUE!
All horizontal have a slope of 0

28. What is the slope of the wall?

29. The slope of a vertical line has NO SLOPE!

30. CAN TWO LINES HAVE
THE SAME SLOPE?

31. Parallel lines have the same slope
YES!
Parallel lines have the same slope

32. It’s a Miracle! Slope Intercept Form y= mx + b X- x value Y- y value
M- the slope
B- y intercept ( we will learn about this tomorrow)

33. Slope Intercept Form In the equation: Y= 2x + 5 2 is the slope
What is the slope of the line of:
Y= 2/3x + 8?

34. Classifying Slope Positive slope – line slants up from left to right.
• Negative slope – line slants down
from left to right.
• Zero slope – line is horizontal.
• Undefined slope – line is vertical.

35. Try with your group:
X Y
What is the slope of the line represented by the table of values below?
-20 1
-10 2 3 10

36. Try with your group:
What is the slope of the line represented by the equation below?
y =    1/2  x + 3

37. Try with your group: B A D C
Which of the following shows the graph of a line with positive slope? B A D C

38.                                                                                                             
Which statement best describes the slope of the line graphed above?
Try with your group: A.
The slope is −6. B. C.
The slope is       D.
The slope is 4.
The slope is
-     

39. Which of the following lines appears to have the greatest slope?