Notes 2.2: Slope This lesson will cover the competency of interpreting functions. Using your book, define slope in 3 different ways: Define positive slope, negative slope, zero slope, and undefined slope (draw a picture to go with each): Why are horizontal lines defined as zero slope and vertical lines as no slope? Ex 1: Find the slope of the line passing through the following points: a. (0, 3) (4, 8) b. (-5,1)(5, -4) c. (4,6) (4, -1) d. (3, -2) (5, -2) Slopes of Parallel and Perpendicular Lines Two lines are parallel if ___________________________________. Two lines are perpendicular if _____________________________. Ex 2: Tell whether the lines are parallel, perpendicular, or neither. a. Line 1: through (-2, 8) and (2, -4) Line 2: through (-5, 1) and (-2, 2) b. Line 1: through (-4, -2) and (1, 7) Line 2: (-1, -4) and (3, 5) Slope can also be called rate of change. This is a term most often used in word problems, science, and higher math (like calculus). Ex 3: Use the diagram, which illustrates the growth of a giant sequoia, to find the average rate of change in the diameter of the sequoia over time. Then predict the sequoia’s diameter in 2065. HW: pgs. 86-88 #1 – 47 odds
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