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MA220Lesson9Notes

# MA220Lesson9Notes - MA 22000 Lesson 9 notes Section 1.3(2nd...

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MA 22000, Lesson 9 notes Section 1.3 (2 nd half of book), pg. 24 Slope: Definition: The slope of a line is the ratio of the ‘change’ in y to the ‘change’ in x . 1 1 2 2 2 1 2 1 1 2 Given 2 points of a line, ( , ) and ( , ) change in slope = change in (where ) x y x y y y rise y y m x x run x x x x Ex 1: Find the slope of a line containing each pair of points. a) ( 3, 4), (2, 2) b) (4,2) and ( 7,2) c) ( 5,8) and (2,3) d) (3,9) and (3,6) As illustrated above, there are 4 types of slopes. 1. A line with a positive slope rises left to right. 2. A line with a negative slope falls left to right. 3. A line with a zero slope is horizontal. 4. A line with an undefined slope (zero denominator) is vertical. Positive slope Negative slope Zero slope Undefined slope

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Linear Equations: Begin with the slope formula, letting 1 1 ( , ) x y be one point of a line and any other point be ( x , y ). Cross multiply and the result is called the Point-Slope form of a line.
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