What is the slope of any line perpendicular to the line passing through #(30,32)# and #(18,40)#? Algebra Forms of Linear Equations Equations of Perpendicular Lines 1 Answer ali ergin Oct 7, 2016 #"slope of any line : "m=3/2# Explanation: #"draw the line passing through (30,32) and (18,40)"# #m_1:"slope of the blue line"# #m:"slope of the red line"# #"find slope of the blue line"# #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# Answer link Related questions How do you determine the equation of a line that is perpendicular to another? What is the relationship between equations of perpendicular lines? How do you determine if a line is perpendicular, parallel, or neither? How do you find the equation of the line perpendicular to the line #y=5# and passing through #(5, 4)#? What is the slope that is perpendicular to #2x+8y=9#? How do you determine if the two lines are parallel, perpendicular, or neither if line a passes... How do you find the equation of a line that is perpendicular to #y=2/3x-4# and goes through point (6,-2)? How do you determine if #5y+3x=1 # is parallel, perpendicular to neither to the line #y+10x=-3#? Question #3177e How do you find the equation of the line through the point (-4 , 5) and is perpendicular to the x axis? See all questions in Equations of Perpendicular Lines Impact of this question 1480 views around the world You can reuse this answer Creative Commons License