A line passes through #(4 ,7 )# and #(2 ,4 )#. A second line passes through #(3 ,5 )#. What is one other point that the second line may pass through if it is parallel to the first line?

Question

1769 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-02-12T11:24:56

#(5,8)# may be one point through which second line can pass.

The slope of the line passing through #(4,7) and (2,4)# is

#m= (y_2-y_1)/(x_2-x_1)= (4-7)/(2-4)=3/2#

Equation of second line passing through #(3,5)# is

#y-y_1=m(x-x_1) :. y-5=m(x-3)#. Parallel lines have

equal slope. #:.m=3/2# . So equation of second line is

#y-5=3/2(x-3)# If # x=5 ; y-5 =3/2(5-3) or y-5 =3# or

#y=8 :.x=5; y=8 :. (5,8)# may be one point through which

second line may pass. [Ans]