What is the slope of any line perpendicular to the line passing through #(0,6)# and #(18,4)#?

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Answer 1 · 2018-03-14T11:42:41

Slope of any line perpendicular to the line passing through

#(0,6) and (18,4)# is #9#

The slope of the line passing through #(0,6) and (18,4)#

is #m_1= (y_2-y_1)/(x_2-x_1)= (4-6)/(18-0)= (-2)/18=-1/9#

The product of slopes of the perpendicular lines is #m_1*m_2=-1#

#:.m_2=-1/m_1=-1/(-1/9)=9# . Therefore slope of any line

perpendicular to the line passing through #(0,6) and (18,4)#

is #9# [Ans]