Week 6_Concept Check

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

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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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