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1.

Write the definition and draw a diagram for each: Parallel Lines: Perpendicular Lines: 2.

The following pairs of lines are parallel to each other. With your group, write an equation in slope intercept form for each line. a. b. c. Line 1: ___________________ Line 1: __________________ Line 1: _________________ Line 2: _________________ 3.

Line 2: ___________________ Line 2: __________________ Examine the slopes within each example above. Discuss with your group a pattern you see between the slopes of parallel lines. If two equations are in slope-intercept form, how can you tell if the lines are parallel? 4.

Given two equations. In the space provided state if the two lines are parallel or not parallel. (Hint: Make sure they’re in the correct form to see the slope!)

*y*

3

*x*

5

*y*

3

*x*

7 _______________________

*y*

1 2

*x*

2

*y y*

3 4 4

*x x*

7 7

*y*

1 2

*x*

2

*y y*

3 7 3 4 4

*x x*

_______________________ _______________________ _______________________

5.

Work in your group to create your own equation of a line that would be parallel to each of the given equations.

*y*

2

*x*

5

*y*

2 5

*x*

__________________________________ ___________________________________________________ 2

*y*

3

*x*

7 ___________________________________ a. 6.

The following pairs of lines are perpendicular to each other. With your group, write an equation in slope-intercept form of each line. b. c. Line 1: ________________ Line 2: ________________ 7.

Line 2: _________________ Line 2: _________________ In your groups discuss the relationship between the slopes of two lines that are perpendicular to each other. Pay special attention to the slope and the

. Develop a rule that communicates how to find the slope of a line that is perpendicular to a line with an equation given in slope-intercept form. Line 1: _________________ Line 1: _________________ 8.

Below are four equations. What would the slope be of a line that is perpendicular to these equations? Equation

*y*

2

*x*

5 Perpendicular slope _____________

*y*

1 3

*x y*

3 4

*x*

7 _____________ _____________ 3

*y*

7 2

*x*

_____________

9.

Given the two equations below, write an equation of a line perpendicular to the given equations and a line parallel to the given equations. Equation: Parallel:

*y*

2

*x*

5 ____________________ Perpendicular: ____________________

*y*

2 3

*x*

7 _____________________ _____________________ 10.

Tell whether the lines for each pair of equations are

*parallel, perpendicular, *

or

*neither.*

(Remember: what form does the equation need to be in to see the slopes?) a.

*y*

3

*x*

3 2 2

*y x*

2 12 b.

*y*

5

*x*

1 2 10

*y x*

3 2 15 c.

*y*

4

*x*

3 4 3

*x y*

2 6