Question

Which two lines are parallel?

I. 5y = –3x – 5
II. 5y = –5 – 3x
III. 3y – 2x = –1

Answer 1

Parallel lines have equal slopes.


`5y=-3x-5 \Rightarrow y=- (3)/(5) x-1 \Rightarrow m=- (3)/(5) \\ \\5y=-5-3x \Rightarrow y=- (3)/(5) x-1 \Rightarrow m=- (3)/(5) \\ \\3y-2x =-1 \Rightarrow 3y=2x-1 \Rightarrow y= (2)/(3) x- (1)/(3) \Rightarrow m= (2)/(3)`

Parallel lines are I and II.