What is the slope of any line perpendicular to the line passing through #(30,32)# and #(18,40)#?

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Answer 1 · 2016-10-07T18:04:03

#"slope of any line : "m=3/2#

#"draw the line passing through (30,32) and (18,40)"#

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#m_1:"slope of the blue line"#

#m:"slope of the red line"#

#"find slope of the blue line"#

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#tan alpha=(32-40)/(30-18)#

#tan alpha=-8/12=-2/3#

#m_1*m=-1 #

#-2/3*m=-1#

#-2m=-3#

#m=3/2#