Final answer:
Without a clear reference to a typical mathematical number line, we cannot accurately determine the position of the blue dot. Descriptors provided lack context and standard number line precepts such as negative numbers, zero, and positive numbers.
Step-by-step explanation:
To determine the location of the blue dot on the number line, we need to understand the descriptions provided about its position relative to certain points or objects. However, without a direct reference to the standard number line used in mathematics that includes negative numbers, zero, and positive numbers, we can't identify the exact position of the blue dot. The details provided talk about hash marks and positions relative to objects called 'Car X' and 'Car Y,' which are not standard references for a mathematical number line.
If we were to consider a typical mathematical number line, we would look for indicators such as 'left of zero', 'right of zero', or 'at zero'. For example, if the blue dot were before 0, it would be in the negative number range. If it were after 0, it would be in the positive number range. The description 'at 0' would mean the dot is exactly at the zero point on the number line. Since the descriptions provided don't match with these standard references, we're left without enough context to provide an accurate location of the blue dot on a number line.