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Lesson #20
Section 3.5 Supplement: Slopes of Parallel and Perpendicular Lines
And
Supplement: Graphing Lines/Making Tables on a Calculator
Success Criteria #1: I can determine if lines are parallel or perpendicular based on their slope.
Recall: Parallel lines ________________________________________________________________.
Perpendicular Lines:
Examples: ________ and ________; ________ and ________; ________ and ________
Example 1: Which lines are parallel? How do you know?
[pic]
Example 2: Which lines are perpendicular? How do you know?
[pic]
Example 3: Are the lines parallel, perpendicular, or neither? How do you know?
a. [pic] & [pic] b. [pic] & [pic]
Success Criteria #2: I can determine if vertical and horizontal lines are parallel or perpendicular.
Example 4: Are the lines parallel, perpendicular, or neither? How do you know?
a. [pic] b. [pic]
c. [pic] d. [pic]
Making a Table and Graphing using a graphing calculator
Steps:
1. Put the equation in slope-intercept form: y =
2. Hit the “Y = ” button on the calculator and enter the equation.
3. Hit “2nd” and then “GRAPH” to bring up the table. You can move up/down the table with arrows.
4. Just hit “GRAPH” to see if your graph matches.
Troubleshooting for table: Hit “2nd” and “WINDOW”, put “TblStart = 0” and “[pic]Tbl = 1”.
Example 5: For [pic], copy down the table from the calculator and graph the function.
| |Solution Points |
| x |0 |1 |2 |3 |
|[pic] | | | | |
Is the slope positive, negative, zero, or undefined?
Homework: Worksheet (both sides)
Lesson #20
Start Thinking
1. For a and b, make a table of values and then graph both lines on the same graph.
a. [pic]
| |Solution Points |
| x | | | |
|[pic] | | | |
b. [pic]
| |Solution Points |
| x | | | |
|[pic] | | | |
What is the slope of graph a?
What is the slope of graph b?
How would you describe the graphs?
Lesson #20
Section 3.5: Slopes of Parallel and Perpendicular Lines
HOMEWORK
Use the given information to determine whether the lines are parallel, perpendicular or neither. Your work should support your answer.
Remember, [pic] and [pic] are standing for slopes of lines. [pic] and [pic] are equations of lines.
|1. [pic] & [pic] |2. [pic] & [pic] |3. [pic] & [pic] |
| | | |
| | | |
| | | |
| | | |
|4. [pic] |5. [pic] |6. [pic] |
| | | |
| | | |
| | | |
| | | |
7. Which lines are parallel? How do you know?
8. Which lines are perpendicular? How do you know?
Lesson #20
Supplement: Graphing Lines/Making Tables on a Calculator
HOMEWORK
For each equation, create a table of values from the calculator and graph the function.
1. [pic]
| |Solution Points |
| x | | | |
|[pic] | | | |
1. [pic]
| |Solution Points |
| x | | | |
|[pic] | | | |
1. [pic]
| |Solution Points |
| x | | | |
|[pic] | | | |
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