1. Do Now
From this table below, extend the table to zero, determine rate of change, y-intercept, and equation x y 3
–12 6
–14 9
–16 12
–18
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4.4 - Finding Slope

2. Worksheet Key
From this table below, extend the table to zero, determine rate of change, y-intercept, and equation x y 3
–12 6
–14 9
–16 12
–18
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4.4 - Finding Slope

3. Finding Slope and Rate of Change
Chapter 3.4
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4. Definitions Ratio: A comparison of two numbers.
Linear Equations are equations that the highest power is raised to one.
Slope is a non-vertical line between two points
Rise is the vertical movement
Run is the horizontal movement
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4.4 - Finding Slope

5. Slope Equation Slope equation: Rewrite it as: 1/17/2019 7:01 AM
4.4 - Finding Slope

6. Type of Slopes
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7. What type of slopes are these graphs?
Positive Slope
Negative Slope
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8. What type of slope is this graph?
Type of Slopes
Zero Slope
Horizontal Line
What type of slope is this graph?
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9. What type of slope is this graph?
Type of Slopes
No Slope/Undefined
Vertical Line
What type of slope is this graph?
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10. Video
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11. Steps When given two points, create a t-chart
Subtract the Y-intercept first from top to bottom
Subtract the X-intercept first from top to bottom
Reduce the fraction
Equation: Known as:
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4.4 - Finding Slope

12. Example 1
What is the slope of this table? Will it rise, fall, horizontal, or vertical?
3 – (5) = –2 x y 3 10 5 12 6 13 17
10 – (12) = –2
5 – (6) = –1
12 – (13) = –1
6 – (10) = –4
13 – (17) = –4
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4.4 - Finding Slope

13. Create a t-chart & solve for slope
Example 2
What is the slope of these two points, (–1, 3) and (2, –2)? Will it rise, fall, horizontal, or vertical? x y –1 3 2 –2
Create a t-chart & solve for slope
–1 – (2) = –3
3 – (–2) = 5
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4.4 - Finding Slope

14. Example 2
What is the slope of these two points, (–1, 3) and (2, –2)? Will it rise, fall, horizontal, or vertical?
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4.4 - Finding Slope

15. Example 3
What is the slope of these two points, (6, –4) and (2, –2)? Will it rise, fall, horizontal, or vertical?
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4.4 - Finding Slope

16. Your Turn
What is the slope of these two points, (2, 3) and (–4, 5)? Will it rise, fall, horizontal, or vertical?
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17. Zero versus Undefined
4.4 - Finding Slope
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18. Undefined Slope
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19. Create a t-chart & solve for slope
Example 4
What is the slope of these two points, (–2, 4) and (4, 4)? Will it rise, fall, horizontal, or vertical? x y –2 4
Create a t-chart & solve for slope
–2 – (4) = –6
4 – (4) = 0
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4.4 - Finding Slope

20. Example 5
What is the slope of these two points, (3, 5) and (3, 1)? Will it rise, fall, horizontal, or vertical?
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4.4 - Finding Slope

21. Your Turn
What is the slope of these two points, (0, 4) and (–3, 4)? Will it rise, fall, horizontal, or vertical?
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4.4 - Finding Slope

22. Example 6 Find the slope of the line drawn below: 1/17/2019 7:01 AM
4.4 - Finding Slope

23. Example 7 Find the slope of the line drawn below: 1/17/2019 7:01 AM
4.4 - Finding Slope

24. Example 8 Find the slope of the line drawn below: 1/17/2019 7:01 AM
4.4 - Finding Slope

25. Your Turn Find the slope of the line drawn below: 1/17/2019 7:01 AM
4.4 - Finding Slope

26. Assignment
Worksheet
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