Which two lines are parallel? 5y = 2x-5
5y = 4 +3x
5y-3x = -1
O No two of the lines are parallel.
O I and III
O II and III
O land I

Given:

The equations are

To find:

The two parallel lines.

Solution:

Slope intercept form of a line is

where, m is slope and b is y-intercept.

Isolate variable y in each of the given equations, to get the slope intercept form of the lines.

The slope intercept forms of given lines are

On comparing these equations with slope intercept form, we get

Slope of I line =

Slope of II line =

Slope of III line =

Slope of parallel lines are equal. So, lines II and III are parallel because their slopes are equal.

Therefore, the correct option is C.