A line passes through #(4 ,7 )# and #(7 ,1 )#. A second line passes through #(1 ,1 )#. What is one other point that the second line may pass through if it is parallel to the first line? Geometry Analytic Geometry Equations of Parallel and Perpendicular Lines 1 Answer VinÃcius Ferraz Jul 23, 2017 #(0, 3) and (3/2, 0)#, for instance Explanation: #A = (4, 7), B = (7, 1), C = (1,1)# #frac{Delta y}{Delta x} = frac{1-7}{7-4} = frac{-6}{3} = -2# #AB: y = - 2x + 15# #CD: y = -2x + b, y(1) = 1 => 1 = -2 + b => b =3# #x = 0 => y = 3# #y = 0 => x = 3/2# Answer link Related questions What are the equations of 2 lines that are perpendicular to the line: #4x+y-2 = 0#? Are two perpendicular lines always, sometimes or never co-planar? What is the difference between intersecting and perpendicular lines? Are these two lines parallel, perpendicular, or neither? Explain. #9x+3y=8#, #3x+9y=8# How do you make a perpendicular line when you're given an existing line and its equation? What's... How would I find a line perpendicular to: #y=2x+5#? How do I write the equation of a line that is perpendicular to #y=3x+4# and goes through the point (3,5)? What is the equation of a line perpendicular to the line #y-2x=5# and goes through (1,2)? What is the equation of the line perpendicular to #y - 4 = 0# and passing through (-1, 6)?... What is the slope-intercept form of the equation of the line through the point (-8, 7) and... See all questions in Equations of Parallel and Perpendicular Lines Impact of this question 1130 views around the world You can reuse this answer Creative Commons License