The graph of the following system of equations is

2x + y = 6
6x + 3y = 12

overlapping lines
parallel lines
intersecting lines

 The correct option is (B) parallel lines.

Step-by-step explanation:  The given linear equations are

We are to select the correct relation between the two lines.

We know that the slope-intercept form of a line is given by

where, 'm' is the slope and 'c' is the y-intercept of the line.

From equation (i), we have

so, slope, m = -2.

From equation (ii), we have

so, slope, m' = -2.

Since m = m' = -2, so the slopes of the two lines are equal.

We know that if the slopes of two lines are equal, then they must be parallel. So, the given lines are parallel to each other.

Thus, the lines are parallel lines.

Option (B) is correct.

step-by-step explanation: