1. Lesson 3.1
3.1 SLOPE
I can:
find the slope of a line.

2. Vocabulary Steepness of a line Rise/Run 0 slope = 0 fun Negavite
Positive
No slope!

3. Counting Slope 5 8

4. Calculating Slope 8 3 7 3 1

7. Stair-ways???

8. Lesson 3.2 3.2 Direct Relationships I can:
Find and graph direct variations

9. Vocabulary y = cx a function where the x value and
a constant are directly related with multiplication
y = cx
y = 3x
The constant
y = -2x
Eh hum….this is just the SLOPE!!!!!

11. fraction
Rise over run
line

12. slope = -5
slope = 1

13. Lesson 3.3 Day 1 3.3 SLOPE-INTERCEPT FORM I can:
- Write and graph slope-intercept equations

14. Vocabulary Steepness of a line Slope:1 Crosses the y-axis Y-int: -2
0 slope = 0 fun
Negavite
Positive
No slope!

15. y = mx + b
slope
Point (intercept)
1/4 -6
y = 1/4x - 6

16. y =-3x +7 y = 4x - 3 Slope: –3 y-intercept: 7
YOUR TURN #1: Write an equation for the line with:
Slope: –3 y-intercept: 7
Equation: ____________________________
Slope: 4 y-intercept: –3
y =-3x +7
y = 4x - 3

17. EXAMPLE #2: Write an equation of the line shown in the graph.
Step 1: Find the slope. (count or use the slope formula)
Step 2: Find the y-intercept.
Equation: ________________________
4/2
= 2 -3
y = 2x - 3

18. Your Turn#2: Write an equation of the line shown in the graph.
Step 1: Find the slope. (count or use the slope formula)
Step 2: Find the y-intercept.
Equation: ________________________

19. Do it again: Write an equation of the line shown in the graph.
Step 1: Find the slope. (count or use the slope formula)
Step 2: Find the y-intercept.
Equation: ________________________

20. Lesson 3.3 Day 2 3.3 SLOPE-INTERCEPT FORM I can:
- Write and graph slope-intercept equations

21. EXAMPLE #1: Graph: 1/2 1 2 positive
Step 1: Graph the y-intercept. (0,-7)
Step 2: The slope is 0.5 or _________.
~Move up _____ unit and right _____ units.
Step 3: Draw a line connecting the points.
1/2 1 2
positive

22. negative
positive
negative

23. Write the steps

24. Re-write!
3x + 4y = 12
2x – 5y = 10
-3x + 5y = -8

26. Lesson 3.4 3.4 Graphing Inequalities I can:
- Graph inequalities on the coordinate plane.

27. Example 1
Steps: 1. 2. 3.
y ≤ 2x + 4

28. Example 2
y < 6
Steps: 1. 2. 3.

29. Steps: 2. If < or > then shade If ≤ or ≥ then shade
1. Graph the given line – draw lightly
2. If < or > then shade
If ≤ or ≥ then shade
3. Shading – make sure you have slope intercept form (y = mx + b)
if ≤, < then shade below
if ≥, > then shade above

30. Example 3
y< 2x + 3
Steps: 1. 2. 3.

31. Example 4
x ≥ 2
Steps: 1. 2. 3.

32. Example 5
y <2
Steps: 1. 2. 3.

33. Example 6
-3/4x – 9 <= y
Steps: 1. 2. 3.

34. Example 7
y + 6 < 2x
Steps: 1. 2. 3.

35. Are you a master? y > ½ x + 3

36. y > ½ x + 3
y ≤ -3x

37. Investigating Slope Intercept Form