Kelly J.
asked • 03/19/13Find the slope of the line that is perpendicular to x-y=3
Graph equation and show work step by step
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1 Expert Answer
Kevin S. answered • 03/19/13
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A line that is perpendicular will have a slope that is the negative reciprocal of the slope of a given line. For example, if the slope of a line was 3, then the perpendicular line would have slope -1/3
Given x - y = 3, let's get this into slope-intercept form y = mx + b
-y = -x + 3 (now divide by -1)
y = x - 3
So our slope is 1. Therefore, the slope of our perpendicular line is -1/1 = -1
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Mark A.
Our answering system doesn't allow the posting of graphical pictures. If you want to graph an equation perpendicular to y=x-3, plot two points for any equation that has a slope of -1. A simple example would be y = -x -3, which would pass through the point (0, -3) just like your original equation..
05/13/13