What is the slope of any line perpendicular to the line passing through #(-4,10)# and #(2,7)#?

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Answer 1 · 2018-03-04T01:47:54

#2#

Slope of line joining #(-4,10),(2,7)# is #(y_2-y_1)/(x_2-x_1)#

#=>(7-10)/(2-(-4))#

#=>(-3)/(2+4)#

#=>(cancel(-3)^(-1))/(cancel(6)^2)#

#=>-1/2#

Slope of perpendicular line is #-1/m# (where m is slope of given line) that is #-1/(-1/2) =2#