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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] |

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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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