Observe the graph:

The lines are parallel and have positive slope.

Line equation in slope-intercept form is ,where is slope and is -intercept.

Check the possibility of each pair in options.

Convert the equations into slope-intercept form.

(a) The pair is

Observe the slopes of two equations different.

Since the equations have unequal slopes, they are not parallel.

(b) The pair is

Since the slopes of equations are equal, the lines are parallel.

The two equations have negative slope.

(c) The pair is

Since the slopes of equations are equal, the lines are parallel.

The two equations have positive slope.

(d) The pair is

Observe the two equations are same.

They intersect each other at all points.

(e) The pair is

Since the slopes of equations are equal, the lines are parallel.

The two equations have negative slope.

The only possible option is (c).

Option (c) is correct.