The ratio of vertical change to horizontal change

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Presentation transcript:

The ratio of vertical change to horizontal change between any 2 points on a line. Rise Run falls rises vertical horizontal

2 4 1 6 4 m = y2 - y1 x2 - x1 0 - 6 4 - 4 -6 undefined = m = y2 - y1 x2 - x1 3 - 6 7 - 4 -3 3 -1 =

slope horizontal vertical -1 perpendicular

md = mc = m = y2 - y1 x2 - x1 -1 - (-6) -3 - (-4) 5 1 2 - (-4) 2 - 1 2 - (-3) 4 - 3 6 5 k1 k3 parallel k2 k2 not parallel mc = 7 - (-2) 5 - 2 = 9 3 = 3 md = -8 - 4 1 - (-3) -12 4 = = -3 No, line c is not parallel to line d because they have different slopes.

m = y2 - y1 x2 - x1 6 - (-2) 5 - 1 8 4 2 m1 × m2 = -1 2 -1/2

a c slope rate m = y2 - y1 x2 - x1 m1 = 4 - 6 8 - 1 = -2 7 12 - 5 2 - 0 = 7 2 m2 = -2 7 2 × = -1 Yes, n T m because their slopes are opposite reciprocals. Delivery b

= =