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.

$5y=-3x-5 \Rightarrow y=- \frac{3}{5} x-1 \Rightarrow m=- \frac{3}{5} \\ \\5y=-5-3x \Rightarrow y=- \frac{3}{5} x-1 \Rightarrow m=- \frac{3}{5} \\ \\3y-2x =-1 \Rightarrow 3y=2x-1 \Rightarrow y= \frac{2}{3} x- \frac{1}{3} \Rightarrow m= \frac{2}{3}$

Parallel lines are I and II.