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Section 2.3 Linear Functions: Slope, Graphs & Models Slope Slope-Intercept Form y = mx + b Graphing Lines using m and b Graphs for Applications Graph paper required for this and all future graphing exercises. Each graph about 4 inches square. Limit 6 graphs per page. 12.3

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What is Slope & Why is it Important? Using any 2 points on a straight line will compute to the same slope. 22.3

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The Dope on Slope On a graph, the average rate of change is the ratio of the change in y to the change in x For straight lines, the slope is the rate of change between any 2 different points The letter m is used to signify a line’s slope The slope of a line passing through the two points (x 1,y 1 ) and (x 2,y 2 ) can be computed: Horizontal lines (like y = 3 ) have slope 0 Vertical lines (like x = -5 ) have an undefined slope Parallel lines have the same slope m 1 = m 2 Perpendicular lines have negative reciprocal slopes m 1 =-1/m 2 32.3

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Slope Intercept Form of a Straight Line f(x) = mx + b or y = mx + b Both lines have the same slope, m = 2 42.3

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Using b to identify the y-intercept point (0,b) the above y-intercepts are: (0,0) and (0,-2) What’s the y-intercept of y = -5x + 4 (0,4) What’s the y-intercept of y = 5.3x - 12 (0,-12) 52.3

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Calculating Slopes 62.3

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Graphing a Straight Line using the y-intercept and the slope 72.3

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The Slope-Intercept Form of a Line 82.3

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Graphing Practice: 92.3

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Lines not in slope-intercept form 102.3

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Next Section 2.4 Another Look at Linear Graphs Section 2.4 Another Look at Linear Graphs 152.3

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