How do you find the slope of a line perpendicular to #5x-2y=-1#? Algebra Forms of Linear Equations Equations of Perpendicular Lines 2 Answers Alan P. Apr 1, 2015 Remember that given a slope, #m#, the slope perpendicular to it is #-1/m# (the negative of its inverse). Re-write the given equation #5x-2y= -1# in slope-point form: #y=5/2x +1/2# The slope of the given equation is #5/2# and the slope of a line perpendicular to it is #-2/5# Joe D. Apr 1, 2015 The slope is: #(-2/5)# Perpendicular lines' slopes are negative reciprocals. #y = (5x+1)/2# The slope of line #y# is: #5/2# So #m * (5/2) = -1# We need to find #m# to find the slope of the perpendicular line. #m = (-2/5)# 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, ... 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 ... 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 ... See all questions in Equations of Perpendicular Lines Impact of this question 1021 views around the world You can reuse this answer Creative Commons License