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# Lesson 2 2

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• 1. 2.2 Find Slope and Rate of Change
• 2. 2.2 Find Slope and Rate of Change
Example 1
The roof of an entryway to an office building has a rise of 40 feet and a run of 100 feet. What is its slope?
• 3. 2.2 Find Slope and Rate of Change
Example 2
What is the slope of the line passing through the points (-4, -5), (6, -2)?
If (x1, y1) = (2, 1) and (x2, y2) = (-1, 3), would the slope be different?
• 4. 2.2 Find Slope and Rate of Change
• 5. 2.2 Find Slope and Rate of Change
• 6. 2.2 Find Slope and Rate of Change
Example 3
Without graphing , tell whether the line through the given points rises, falls, is horizontal or is vertical.
(1, 6), (8, -1)
(-4, -3), (7, 1)
(-5, 3), (-5, 1)
(9, 2), (-9, 2)
• 7. 2.2 Find Slope and Rate of Change
• 8. 2.2 Find Slope and Rate of Change
Two lines that do not intersect are called parallel lines.
Two lines that intersect to form a right angle are called perpendicular lines.
Using slopes we can determine whether two different non vertical lines are parallel or perpendicular.
• 9. 2.2 Find Slope and Rate of Change
• 10. 2.2 Find Slope and Rate of Change
Example 4
Tell whether the lines are parallel, perpendicular or neither.
Line 1: (-2, 1) and (0, -5); Line 2: (0, 1) and (-3, 10)
Line 1: (-5, 3) and (-2, -3); Line 2: (4, 11) and (-4, -5)
• 11. 2.2 Find Slope and Rate of Change
If two lines are parallel what do we know about their y-intercepts?
If one of two perpendicular lines has a slope of 1/a and a<0, is the slope of the other line positive or negative?
• 12. 2.2 Find Slope and Rate of Change
• 13. 2.2 Find Slope and Rate of Change
Another term for slope is rate of change, where a rate is a ratio of two quantities that have different units.
Real life rate of change has units like miles per hour or degrees per pay.
• 14. 2.2 Find Slope and Rate of Change
Example 5
Predict the percent of forestland in New Hampshire in 2005.
1983 – 87% forested
2001 – 81.1% forested.
• 15. 2.2 Find Slope and Rate of Change
How do you determine whether two nonvertical lines are parallel or perpendicular?