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WARM UP 1. Name the alternate interior angles
2. Name the alternate exterior angles 3. Name the corresponding angles
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4.6 Slope Obj: Understand concept of slope.
Relate slope of a line to its orientation in the coordinate plane Recognize the relationships between slopes of parallel and perpendicular lines.
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Change of y over the change of x Use m for slope Equation:
1 2 m = 2 1
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∆y ∆x m = ∆ Delta y over delta x ∆ delta means change Rise over run
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Find the slope of a line given two points?
(5, -2) (6, 3)
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Four special slopes: Positive slope: m>0 Negative slope: m<0
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Horizontal slope: m=0 Slope is zero Vertical slope: no slope undefined
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Slope of parallel lines:
Parallel lines have the same slope but different y-intercepts Graph: y = 2x + 2 and y = 2x - 3 on the same graph.
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Perpendicular lines: slopes are the opposite reciprocals of each other
Their product equals -1. Graph: y = x+3 and y = x -1 on the same graph. = -1
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LET’S BUILD A STAIRCASE!
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