What is the slope of the line perpendicular to # y=8/11x-4 #? Algebra Forms of Linear Equations Equations of Perpendicular Lines 1 Answer Pythagoras Nov 29, 2015 #-11/8# Explanation: Let #a_1# be the slope of this line. #a_1=8/11#. Let #a_2# be the slope of the line perpendicular to line. Then, #a_1 a_2=-1#. (this is a property of the slopes of perpendicular lines you need to know, that is, multiplying the slopes of two perpendicular lines should always give you -1). i.e. #8/11 a_2=-1# i.e. #a_2 = -11/8# That's it. 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 2980 views around the world You can reuse this answer Creative Commons License