How do you write the equation in slope intercept form perpendicular to y = -4x -2 and passes through the point (-16, -11)? Algebra Forms of Linear Equations Equations of Perpendicular Lines 1 Answer seph Mar 5, 2016 #y' = 1/4x' - 7# Explanation: #y = -4x - 2# #=> m = -4# #m' = -1/m# #=> m' = -1/-4 = 1/4# #y' = m'x' + b'# #=> y' = 1/4x' + b'# #=> -11 = 1/4(-16) + b'# #=> -11 = -4 + b'# #=> b' = -7# #y' = 1/4x' - 7# 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 2036 views around the world You can reuse this answer Creative Commons License