3-3 Slopes of Lines Slope is the ratio of the rise (the vertical change) over the run (the horizontal change). Sometimes they will give you a graph, pick.

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Presentation transcript:

3-3 Slopes of Lines Slope is the ratio of the rise (the vertical change) over the run (the horizontal change). Sometimes they will give you a graph, pick points that are integers. Sometimes they will just give you the numbers.

Find the slope of each line (0,2) and (2,0) (5,2) and (-6,-1)

Try These 1. (-3,4) and (2,5) 2. (0,-4) and (1,2) 1. 1/5 2. 6

What the slope looks like Positive Slope m>0 Negative Slope m<0 Undefined Slope m is undefined (can’t divide by 0) 0 Slope m = 0

Parallel and Perpendicular Lines Postulate 3.2: Two distinct nonvertical lines have the same slope if and only if they are parallel. All vertical lines are parallel. Postulate 3.3: Two nonvertical lines are perpendicular if and only if the product of their slopes is –1. Perpendicular lines have opposite reciprocal slopes. Ex: m = 6, m = -1/6

Example Given the points A(-2, -1/2), B(2, ½), C(5,0) and D(4,4) describe how AB is related to CD. ¼ and –4 are not the same so they are not parallel. ¼(-4) =-1 so the lines are perpendicular.

Try These Page 160, #1-8, check them with me, then proceed to your homework assignment. #20 p. 160 10-36 even, 40-42, 48-50