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# Lesson22 - MA 15200 I Slope of a Line Lesson 22 Sections...

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1 MA 15200 Lesson 22 Sections 2.3 and 2.4 I Slope of a Line A measure of the ‘steepness’ of a line is called the slope of the line. Slope compares a vertical change (called the rise ) to the horizontal change (called the run ) when moving from one point to another point along a line. Slope is a ratio of vertical change to horizontal change. If a non-vertical line contains points ) , ( and ) , ( 2 2 1 1 y x y x , the slope of the line is the ratio described by 2 1 2 1 change in y change in x y y rise m run x x - = = = - . *Note: Always be consistent in the order of the coordinates. There are 3 ways to find slope. 1. Using the slope formula (above) 2. Counting rise over run (when shown a graph) 3. Finding the equation in slope-intercept form (later in lesson) If a line is horizontal, the numerator in the slope formula will be 0 (the y coordinates of all points of a horizontal line are the same). The slope of a horizontal line is 0. If a line is vertical, the denominator in the slope formula will be 0 (the x coordinates of all points of a vertical line are the same). A number with a zero denominator is not defined or undefined. The slope of a vertical line is undefined. There are 4 types of slopes . Positive Negative Zero Undefined When given two points, it does not matter which one is called point 1 and which point 2. 2

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Lesson22 - MA 15200 I Slope of a Line Lesson 22 Sections...

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