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Check odds in the back of the book
Homework out Warm-up Check odds in the back of the book Find the x & y intercepts & graph each line y = 3x- 8 4y - 4x = -16
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Warm-up Answers y = 3x – 8 2. y = x- 4 x-int. (8/3, 0) y-int. (0, -8)
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Answers to hmwk. evens 8) A 10) B 12) -2, 4 14) -5, 2 16) 18)
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Joke of the day John received a free ticket to the Super Bowl. Unfortunately. John's seat was in the last row in the corner of the stadium. He was closer to the Goodyear Blimp than the stadium. He noticed an empty seat 10 rows up from the 50-yard line. He decides to make his way to the empty seat. As he sits down he asks the man next to him if anyone is sitting there. The man told him no, it was empty. John is very excited to have a seat like this at a Super Bowl and asks why in the world no one is using it? The man replied that it was his wife's seat but she passed away. He said this was the first Super Bowl that they have not attended together since they were married in 1968. John said that it was really sad and asked if he couldn't find someone, a relative or a close friend to take the seat? “no, replied the man. They are at her funeral!”
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4.4 Slope of a Line The slope of a line is the angle at which the line goes up or down. 4 types of slopes Positive slope Negative slope Zero slope Undefined slope
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To find the slope of a line
you need 2 points on the line: (x, y) and (x2 , y2) The slope is a ratio comparing the rise (change in y) to the run (change in x). Slope (m) = y2 – y1 x2 – x1 Known as the “rise over the run” Change in Y Change in X
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Slope Trends: “m” represents the slope of a line
m > 1 steeper positive slope 0 < m < flatter slope positive m < steeper slope negative m = 0 flat slope
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Find the slope of a line & determine whether the slope is +, - , or undefined
(1,2) & (3, 5) (3,6) & (3,0) (4,1) & (6, 1)
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Find the slope of a line & determine whether the slope is +, - , zero or undefined
(1,2) & (3, 5) m = 3/2 Positive slope (3,6) & (3,0) m = 6/0 undefined slope (can’t have zero in the denominator) (4,1) & (6, 1) m = 0/2 zero slope (when points form a horizontal line through y)
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Try these: (6, 5) & ( -3, 1) m = 4/9 positive slope (-3, 6) & (-3, 1) m = 5/0 Undefined slope
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Parallel lines Lines that have the same slope are parallel lines Compare the slopes of these 2 lines Line #1 Line # 2 (2, 5) & (6,1) (3,6) & (8,1) m= m= -1 Yes they are parallel.
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Perpendicular Lines Lines whose slopes are opposite reciprocals are perpendicular. Example: m = 2 and m = -1/2 Perpendicular lines are lines that intersect to form 4 ninety degree angles.
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