I did not get why B is the odd man out, please explain.
This solution could be best explained with a figure;
When do you think the slopes of two lines are equal; either when they are parallel to each other or when they overlap.
Let's consider the case when they coincide:
So; the slopes are equal. "2". and both the lines intercept y-axis at same point. Thus, b=d. With these conditions; all of the
given options but B are possible.
am=-1. Not possible because=2*2=4; not -1
For parallel lines as well; all of the above hold true; because parallel lines have same slope
Let's consider two parallel lines with -ve slope = -3. The only difference in parallel lines and coinciding lines is that they intercept y-axis at different points. Here; we don't care about b or d(y-intercept).
When the lines are not parallel; their slopes will not be equal. For unequal slopes;
Say a=1; m=2 or anything other than 1.
Thus; these options don't hold good for two lines with different slopes.
What if these two lines are perpendicular;
am=-1<0. Not possible.
We see that A and E both aren't true for the perpendicular lines.
Thus; we can conclude that the given equations are equation of parallel lines or overlapping lines, where option B is the odd man out.