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Students will be able to find slopes of lines. Students will be able to use slope to identify parallel and perpendicular lines.

Vocabulary Vocabulary Definition Picture Slope Catchy Saying :   Slope Catchy Saying : The slope of a line is the __________________ along the y-axis to the change along the x-axis between ______________ ______________________. Formula :

Find the slope of the given lines: a) b)

Find the slope of the given lines: c) d)

Classifying Slopes Positive Slope Negative Slope Zero Slope Undefined Slope   Example : Example:

Example 2: Find the slopes of the lines that contain the given points: a) (–3, 4), (2, 1) b) (–1, –3), (6, –3) c) (2, –4), (5, 2) d) (3, 5), (3, 2)

Vocabulary Vocabulary Definition Real-Life Rate of Change   Rate of Change  Can also be referred to as: __________ Describes the change in x in relation to the change in y.

Example 3: In 2000, the annual sales for one manufacturer of camping equipment were $48.9 million. In 2005, the annual sales were $85.9 million. Find the rate of change from 2000 to 2005.

Brain Break! In the film 'Shrek', what is the name of Shrek's wife? Which Disney movie does the Cheshire Cat appear in? Who is the voice of Woody in the Toy Story trilogy? In the film 'Shrek', what is the name of Shrek's wife?

Example 4: Between 1994 and 2000, the number of cellular telephone subscribers increased by an average rate of 14.2 million per year. In 2000, the total subscribers were 109.5 million. If the number of subscribers increases at the same rate, how many subscribers will there be in 2010?

Vocabulary Vocabulary Definition Picture Slopes of Parallel Lines   Slopes of Parallel Lines  Parallel lines have ______ __________________. Slopes of Perpendicular Lines Perpendicular lines have slopes that are _________ _____________________.

Example 5:

Example 6:

Example 7: Graph the line that contains Q(5, 1) and is parallel to MN with M(–2, 4) and N(2, 1).

Example 8: Determine which graph represents the line that contains R(2, –1) and is parallel to OP with O(1, 6) and P(–3, 1). a. b. c. d. none

SUMMARY

SUMMARY