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?

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Answer 1 · 2017-07-23T18:14:22

#(0, 3) and (3/2, 0)#, for instance

#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#