1. 5.3: Write Equations in Point-Slope Formula
Do Now
Write an equation in Slope-Intercept form (y = mx + b) with the given information
Slope is -3/4 and the point is at (8, –4)
(1, 4) and (2, 7)
Use the graph below:
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5.3: Write Equations in Point-Slope Formula

2. 5.3: Write Equations in Point-Slope Formula
Worksheet Key
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5.3: Write Equations in Point-Slope Formula

3. 5.3: Write Equations in Point-Slope Formula
Section 5.3
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5.3: Write Equations in Point-Slope Formula

4. 5.3: Write Equations in Point-Slope Formula
Recall
Slope-Intercept form:
Use when point and y-intercept is given
Slope:
Another Equation
Point-Slope Form:
Use when point and slope is given
Standard Form:
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5.3: Write Equations in Point-Slope Formula

5. 5.3: Write Equations in Point-Slope Formula
Point-Slope Equation
X1 is the x-coordinate
Y1 is the y-coordinate
Slope
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5.3: Write Equations in Point-Slope Formula

6. 5.3: Write Equations in Point-Slope Formula
Example 1
Determine an equation of the line with slope of 4 and containing the point (1, 2)
What’s given?
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5.3: Write Equations in Point-Slope Formula 6

7. 5.3: Write Equations in Point-Slope Formula
Example 2
Determine an equation of the line with slope of –4/3 and containing the point (–3, 2).
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5.3: Write Equations in Point-Slope Formula

8. 5.3: Write Equations in Point-Slope Formula
Example 3
Determine an equation of the line with slope of –2/5 and containing the point (7, –2).
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5.3: Write Equations in Point-Slope Formula

9. 5.3: Write Equations in Point-Slope Formula
Your Turn
Determine an equation of the line with slope of 3/8 and containing the point (–7, –9).
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5.3: Write Equations in Point-Slope Formula

10. 5.3: Write Equations in Point-Slope Formula
Example 4
Determine an equation of the line containing the points (2, 3) and (–4, 5).
What equations will you need? x y
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5.3: Write Equations in Point-Slope Formula

11. 5.3: Write Equations in Point-Slope Formula
Example 4
Determine an equation of the line containing the points (2, 3) and (–4, 5).
What equations will you need?
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5.3: Write Equations in Point-Slope Formula

12. 5.3: Write Equations in Point-Slope Formula
Example 4
Determine an equation of the line containing the points (2, 3) and (–4, 5).
What equations will you need?
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5.3: Write Equations in Point-Slope Formula

13. 5.3: Write Equations in Point-Slope Formula
Example 5
Determine an equation of the line containing the points (2, 5) and (–3, 4).
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5.3: Write Equations in Point-Slope Formula

14. 5.3: Write Equations in Point-Slope Formula
Example 6
Determine an equation of the line containing the points (0, 3) and (2, –1).
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5.3: Write Equations in Point-Slope Formula

15. 5.3: Write Equations in Point-Slope Formula
Your Turn
Determine an equation of the line containing the points (–10, –2) and (–8, 8).
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5.3: Write Equations in Point-Slope Formula

16. 5.3: Write Equations in Point-Slope Formula
Example 7
Determine an equation of the line containing the points (12, 4) and (6, –1) and convert it to slope intercept form.
What equations will you need? x y
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5.3: Write Equations in Point-Slope Formula

17. 5.3: Write Equations in Point-Slope Formula
Example 7
Determine an equation of the line containing the points (12, 4) and (6, –1) and convert it to slope intercept form.
What equations will you need?
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5.3: Write Equations in Point-Slope Formula

18. 5.3: Write Equations in Point-Slope Formula
Example 7
Determine an equation of the line containing the points (12, 4) and (6, –1) and convert it to slope intercept form.
What equations will you need?
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5.3: Write Equations in Point-Slope Formula

19. 5.3: Write Equations in Point-Slope Formula
Example 7
Determine an equation of the line containing the points (12, 4) and (6, –1) and convert it to slope intercept form.
What equations will you need?
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5.3: Write Equations in Point-Slope Formula

20. 5.3: Write Equations in Point-Slope Formula
Example 7
Determine an equation of the line containing the points (12, 4) and (6, –1) and convert it to slope intercept form.
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5.3: Write Equations in Point-Slope Formula

21. 5.3: Write Equations in Point-Slope Formula
Example 8
Determine an equation of the line containing the points (0, 4) and (2, 5) in slope-intercept form.
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5.3: Write Equations in Point-Slope Formula

22. 5.3: Write Equations in Point-Slope Formula
Your Turn
Determine an equation of the line containing the points (0, –3) and (2, –11).
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5.3: Write Equations in Point-Slope Formula

23. 5.3: Write Equations in Point-Slope Formula
Assignment
Worksheet
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5.3: Write Equations in Point-Slope Formula