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.