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Write the equation of the line that is perpendicular to the line y = 2x + 2 and passes through the point (6, 3).
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The slope of your line y=2x+2 is of course 2. A line perpendicular to this will have a slope of -1/2 (the negative reciprocal). Now you can use the point slope formula with the point (6,3) and slope -1/2 to get your answer: y-3=-1/2(x-6)
Perpendicularity of two slopes means that one is the negative reciprocal of the other. That is, a slope parallel to \(2\) is \(-1/2\).\[\]
Test1 is spot-on.
Remember the point slope formula says that the equation of a line with slope m through the point (a,b) is y-b=m(x-a)
Thank you smart people!
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