1. Math 71A 2.5 – The Point-Slope Form of the Equation of a Line 1

2. We can rewrite this to get the _________________________ of the equation of a line: If we know a ____________ on a line, and the ___________ of the line, we can use point-slope form to get an equation of the line. 2

3. We can rewrite this to get the _________________________ of the equation of a line: If we know a ____________ on a line, and the ___________ of the line, we can use point-slope form to get an equation of the line. 3

4. We can rewrite this to get the _________________________ of the equation of a line: If we know a ____________ on a line, and the ___________ of the line, we can use point-slope form to get an equation of the line. 4

5. We can rewrite this to get the _________________________ of the equation of a line: If we know a ____________ on a line, and the ___________ of the line, we can use point-slope form to get an equation of the line. 5

6. We can rewrite this to get the _________________________ of the equation of a line: If we know a ____________ on a line, and the ___________ of the line, we can use point-slope form to get an equation of the line. 6

7. We can rewrite this to get the _________________________ of the equation of a line: If we know a ____________ on a line, and the ___________ of the line, we can use point-slope form to get an equation of the line. 7

8. We can rewrite this to get the _________________________ of the equation of a line: If we know a ____________ on a line, and the ___________ of the line, we can use point-slope form to get an equation of the line. 8 point-slope form

9. We can rewrite this to get the _________________________ of the equation of a line: If we know a ____________ on a line, and the ___________ of the line, we can use point-slope form to get an equation of the line. 9 point-slope form

10. We can rewrite this to get the _________________________ of the equation of a line: If we know a ____________ on a line, and the ___________ of the line, we can use point-slope form to get an equation of the line. 10 point-slope form point

11. We can rewrite this to get the _________________________ of the equation of a line: If we know a ____________ on a line, and the ___________ of the line, we can use point-slope form to get an equation of the line. 11 point-slope form pointslope

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13. Nonintersecting lines that lie in the same plane are called __________________________. 13

14. Nonintersecting lines that lie in the same plane are called __________________________. 14 parallel lines

15. What can you say about the slopes of parallel lines? If two lines have the same slope, are they guaranteed to be parallel? 15

16. What can you say about the slopes of parallel lines? If two lines have the same slope, are they guaranteed to be parallel? 16 They’re the same.

17. What can you say about the slopes of parallel lines? If two lines have the same slope, are they guaranteed to be parallel? 17 They’re the same. Yes!

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20. 20 perpendicular lines

21. 21 What is the slope of line m? What is the slope of line n? What happens when you multiply the slopes?

22. 22 What is the slope of line m? What is the slope of line n? What happens when you multiply the slopes?

23. 23 What is the slope of line m? What is the slope of line n? What happens when you multiply the slopes?

24. 24 What is the slope of line m? What is the slope of line n? What happens when you multiply the slopes?

25. 25 What is the slope of line m? What is the slope of line n? What happens when you multiply the slopes?

26. 26 What is the slope of line m? What is the slope of line n? What happens when you multiply the slopes? Slopes of perpendicular lines are negative reciprocals

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29. 29 negative reciprocals

30. 30 negative reciprocals

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33. 33 Summary