Question

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

Answer 1

Correct answer is B.

Parallel lines have equal slopes.

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