A line passes through #(3 ,6 )# and #(6 ,5 )#. A second line passes through #(4 ,3 )#. What is one other point that the second line may pass through if it is parallel to the first line?

Question

1323 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-21T16:05:49

#(1,4)# for instance

The slope of the first equation is
#k_1=(Delta y)/(Delta x)=(5-6)/(6-3)=-1/3#

#y-6=-1/3(x-3)# => #y=(-x+3)/3+6# => #y=(-x+21)/3#

#k_2=k_1=-1/3#

#y-3=-1/3(x-4)# => #y=(-x+4)/3+3# => #y=(-x+13)/3#

Since the equation of second line is #y=(-x+13)/3#
For instance with #x=1#
#-> y=(-1+13)/3=4#
#-> (1,4)#