Which two lines are parallel?

5y=2x-5

5y=-4+3x

5y-3x=-1

1 and 2

2and3

None of the lines are parallel

1and 3

Verified Answer :

Correct answer is B.

Parallel lines have equal slopes.

\(5y=2x-5 \Rightarrow y= \frac{2}{5} x-1 \Rightarrow m=\frac{2}{5} \\ \\5y=-4+3x \Rightarrow y= \frac{3}{5}x- \frac{4}{5} \Rightarrow m= \frac{3}{5} \\ \\5y-3x=-1 \Rightarrow 5y=3x-1 \Rightarrow y=\frac{3}{5}x- \frac{1}{5} \Rightarrow m= \frac{3}{5}\)