How do you write an equation of a line passing through (3, -4), perpendicular to # 3y=x-2#? Algebra Forms of Linear Equations Equations of Perpendicular Lines 1 Answer ali ergin Oct 4, 2016 #"equation of line passing through (3,-4) is "y=-3x+5# Explanation: #color(blue)(3y=x-2)# #color(blue)(y=1/3x-2/3)# #"the slope of blue line is : "m_"blue"=1/3# #m_"red":"the slope of red line"# #"so " alpha=90 " , " m_"blue" * m_"red"=-1# #1/3* m_"red"=-1# #m_"red"=-3# #y-y_1=m_"red" *(x-x_1)# #y+4=-3(x-3)# #y+4=-3x+9# #y=-3x+9-4# #y=-3x+5# 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 1489 views around the world You can reuse this answer Creative Commons License