What is an equation of a line through (4,5) that is perpendicular to #y= 1/2x + 3#? Please show working. Geometry Angles and Intersecting Lines Angles Between Intersecting and Parallel Lines 1 Answer VinÃcius Ferraz Dec 10, 2015 #y = -2x + 13# Explanation: #r: y = ax + b# is perpendicular to #s: y = -1/a + c# Your #r# has #a = 1/2#. #(4,5) in s: y = -2x + c# #5 = -2 * 4 + c# #c = 13# Answer link Related questions When given line #y=2x + 3# and point (4,2), how would you find a parallel and a perpendicular line? What is the relationship between two perpendicular lines? What are some examples? Consider the line #y=8x-2#. What is the equation of the line that is parallel to this line and... What is the equation of the line that is perpendicular to the line #3x + y = 7# and passes... What is the equation of a line that satisfies the given conditions: perpendicular to #y= -2x +... What is the equation of a line that satisfies the given conditions: perpendicular to #y= -2x +... What line is perpendicular to #y = -3# and passes through point (4, -6)? Perpendicular lines have _________ slopes? What is an equation of the line that has a y-intercept of -2 and is perpendicular to the line... What is the equation of the line in slope-intercept that is perpendicular to the line #4y - 2 =... See all questions in Angles Between Intersecting and Parallel Lines Impact of this question 1788 views around the world You can reuse this answer Creative Commons License