Week 6_Concept Check

Week 6_Concept Check - For example, the lines (x = 5) and...

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Week 6 Concept Check Post your 50-word response to the following: How can you determine if two lines are perpendicular? Two nonvertical lines are perpendicular if the product of their slopes is -1. If one line has slope m, the slope of a line perpendicular to it is -1/m. That is, to find the slope of a line perpendicular to a given line, we take the reciprocal of the given slope and change the sign. Lines are also perpendicular if one of them is vertical (x = a) and one of them is horizontal (y = b). If one line is vertical and another is horizontal, they are perpendicular.
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Unformatted text preview: For example, the lines (x = 5) and (y = -3) are perpendicular. Otherwise, how can we tell whether two lines are perpendicular? Consider a line AB with slope a/b. Then think of rotating the line 90 degrees to get a line A1B1 perpendicular to AB. For the new line, the rise and the run are interchanged, but the run is now negative. Thus the slope of the new line is b/a, which is the opposite of the reciprocal of the slope of the first line. Also note that when we multiply the slopes we get -1. a/b (b/a) = -1...
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This note was uploaded on 06/26/2011 for the course MAT 116 taught by Professor Universityofphoenix during the Spring '09 term at University of Phoenix.

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