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Review Homework Pages 15-17, 22-23, 28
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Page 15-17 1)y=-x+2 2)y=3x+1 3)y=-1.5x-3 4)y=-0.5x+2 5)y=-⅓x+2 6)y=-0.5x-5 7)d 8)c 11) b 9)f 12) a 10) e 13) 14) 15) 16) 17) ⑤ 18) ①
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Pages 22 1)yes. It is not on the line. y-2=0.6(x+3) 12-2=0.6(12+3) 10=9 x 2)y-9=2(x-5) or y-5=2(x-3) 3)y-3.5=8(x+2.5) or y+0.5=8(x+3) 4)y-6=-3(x-2) 5)a) y-1=1(x-1) or y=x 5) b) y+4=0.5(x) or y+3=0.5(x-2) 5) c) y-1=-2(x-1) or y-3=-2(x)
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page 23 6)y-5 = -1(x-5) 10-5=-1(0-5) 5 = 5 correct 7a) (3,14180),(28,51780) are the points y-14180=1504(x-3) or y-51780=1504(x-28) or y=1504x + 9668 7b) average annual sales increase 7c) y=1504(20) + 9668 = 39748
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Apples, x0 kg1.6 kg4 kg6.4 kg8 kg Bananas, y 5 kg4 kg2.5 kg1 kg0 kg
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Practice pages 24, 29-30
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page 24 8 10 9 11
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almonds, a (kg)86420 cashews, c (kg)01.534.56
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9)same slope 2/3 LINE y= 2/3 x +1 10)different slopes (1, 2/3, 3/2) NO line 11) y=2x-5 14) 12) 15) 16) 13)
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1-2 Parallel ( 평행선 ) and Perpendicular ( 수선 ) Lines
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Slopes of Parallel Lines Parallel lines have the same (or equal) slopes. If they are both in slope-intercept form then only the y-intercept is different. Examples y=2x+6y-3=4(x+1) y=2x-8y+2=4(x+9)
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Slopes of Perpendicular Lines Perpendicular lines have slopes which are opposite reciprocals of each other. (-1 x 역수 ) y=2x -2 is perpendicular to all lines y= -½ x + b for all values of b The product of the slopes of perpendicular lines is -1. 2 - ½ = -1
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Page 34 If the slopes of both pairs of opposite sides of a quadrilateral are equal then the figure is a parallelogram.
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Perpendicular lines If all adjacent sides have slopes with a product of -1 the figure is a rectangle. If two adjacent sides have equal length, the figure is also a square.
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Examples Write an equation of a line that parallel to y=2x + 6 and passes through (1,3). same slope y-3=2(x-1), y=2x+1 Write an equation of a line that perpendicular to y=2x + 1 and passes through (2,2). opposite reciprocal slope y-2= - ½ (x-2), y = - ½ x+3
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Practice page 36
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Homework Pages 37-38
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