1. 4.5: Graphing Equations of Lines
Do Now
Determine the slope from the graph below. Each unit is worth 1 point.
From 0 minutes to 5 minutes
From 5 minutes to 7 minutes
From 7 minutes to 8 minutes
4.5: Graphing Equations of Lines
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2. 4.5: Graphing Equations of Lines
Worksheet Key
4.5: Graphing Equations of Lines
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3. 4.5: Graphing Equations of Lines
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4. Graphing Linear Functions
Section 4.5
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4.5: Graphing Equations of Lines

5. 4.5: Graphing Equations of Lines
Definitions
Slope is a non-vertical line between two points
Rise is the vertical movement
Run is the horizontal movement
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4.5: Graphing Equations of Lines

6. 4.5: Graphing Equations of Lines
Slope:
Slope-Intercept form is y = mx + b where
m is the slope
(0, b) is the y-intercept
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4.5: Graphing Equations of Lines

7. 4.5: Graphing Equations of Lines
Slope-Intercept Form
Slope
Y-intercept
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4.5: Graphing Equations of Lines

8. 4.5: Graphing Equations of Lines
Example 1
Identify the slope and the y-intercept of the line with the given equation, y = 3x – 4.
Slope
Y-intercept
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4.5: Graphing Equations of Lines

9. 4.5: Graphing Equations of Lines
Example 2
Identify the slope and the y-intercept of the line with the given equation, y = –5x + 3.
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4.5: Graphing Equations of Lines

10. 4.5: Graphing Equations of Lines
Your Turn
Identify the slope and the y-intercept of the line with the given equation, y = –1/2x – 7/5.
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4.5: Graphing Equations of Lines

11. 4.5: Graphing Equations of Lines
Example 3
Identify the slope and the y-intercept of the line with the given equation, 3x + y = 2.
Slope
Y-intercept
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4.5: Graphing Equations of Lines

12. 4.5: Graphing Equations of Lines
Example 4
Identify the slope and the y-intercept of the line with the given equation, 3x – 3y = 12
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4.5: Graphing Equations of Lines

13. 4.5: Graphing Equations of Lines
Example 5
Identify the slope and the y-intercept of the line with the given equation, x + 4y = 6
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4.5: Graphing Equations of Lines

14. 4.5: Graphing Equations of Lines
Your Turn
Identify the slope and the y-intercept of the line with the given equation, 3x + y = 2
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4.5: Graphing Equations of Lines

15. REMEMBER: THINK TO DRAW IT OUT! 4.5: Graphing Equations of Lines
Steps
Establish the slope of the equation
Identify any points and or y–intercept and plot the points
Apply the slope
Continue the process until at least three points are given
Draw your ARROWED line
REMEMBER: THINK TO DRAW IT OUT!
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4.5: Graphing Equations of Lines

16. 4.5: Graphing Equations of Lines
Example 6
If given point (0, 2) and the slope of 3, draw the graph
What is the point given?
(0, 2)
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4.5: Graphing Equations of Lines

17. 4.5: Graphing Equations of Lines
Example 6
If given point (0, 2) and the slope of 3, draw the graph
What is the slope given?
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4.5: Graphing Equations of Lines

18. 4.5: Graphing Equations of Lines
Example 6
If given point (0, 2) and the slope of 3, draw the graph
What is the rise?
R I S E
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4.5: Graphing Equations of Lines

19. 4.5: Graphing Equations of Lines
Example 6
If given point (0, 2) and the slope of 3, draw the graph
What is the run?
R U N
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4.5: Graphing Equations of Lines

20. 4.5: Graphing Equations of Lines
Example 6
If given point (0, 2) and the slope of 3, draw the graph
Plot the point again
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4.5: Graphing Equations of Lines

21. 4.5: Graphing Equations of Lines
Example 6
If given point (0, 2) and the slope of 3, draw the graph
Draw the arrowed line
What’s the equation?
y = 3x + 2
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4.5: Graphing Equations of Lines

22. 4.5: Graphing Equations of Lines
Example 7
Graph the equation, y = –2x + 4. Then compare the graph to the parent function, y = x.
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4.5: Graphing Equations of Lines

23. 4.5: Graphing Equations of Lines
Example 8
Graph the equation, y = –3 + 1/3x. Then compare the graph to the parent function, y = x.
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4.5: Graphing Equations of Lines

24. 4.5: Graphing Equations of Lines
Your Turn
If the graph has a rate of change of 3 and passes through the origin, draw the function and write the equation
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4.5: Graphing Equations of Lines

25. 4.5: Graphing Equations of Lines
Example 9
If the graph has a slope of zero and passes through (–1, –5), draw the function and write the equation.
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4.5: Graphing Equations of Lines

26. 4.5: Graphing Equations of Lines
Example 10
If the graph has an undefined slope and passes through (–1, –5), draw the function and write the equation.
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4.5: Graphing Equations of Lines

27. 4.5: Graphing Equations of Lines
Your Turn
If the graph has a zero slope and passes through (2, –3), draw the function and write the equation.
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4.5: Graphing Equations of Lines

28. 4.5: Graphing Equations of Lines
Assignment
Worksheet
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4.5: Graphing Equations of Lines