Question: 1. Try to draw K4 twice, once with at least two edges crossing and once with no edges crossing. Can you do it?
2. Try to draw K5 twice, once with at least two edges crossing and once with no edges crossing. Can you do it?
3. In the standard way of drawing Km,n, one draws m dots in a row and, a bit below this row, draws another n dots in a row. Then one connects each of the m dots to each of the n dots. Make a standard drawing of K2,4. Do you think there is a different drawing of K2,4 with no edges crossing?