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Does there have to be a zero on a number line?
No, not necessarily. A number line can start and end wherever you need it. But if you are including both positive and negative numbers, then there needs to be a position for zero.
What position is called the preimage?
line or graph on a line in a math equation
Which way is vertical up or down?
Vertical means up and down. A horizontal line goes from the left to the right (or from the right to the left) like this: ----------------------------- A horizontal line goes from a position that is low to a position that is high (or from a position that is high to a position that is low) like this: | | | | | | | | But the word "vertical" does not tell you which direction the line is drawn, just the it is a line.
The final position minus the initial position is the?
In physics the final position minus the initial position is the displacement, usually occurring after a movement. For example, if a jet takes off from JFK airport (like that's going to happen any time soon) and its connecting flight is in L.A. to Miami. Where it then proceeds back to the JFK airport, its distance is somewhere between 7,000 and 12,000 miles (I'm not familiar with those distances), however its displacement is almost zero. I say almost because it depends on which gate the plane left. Now, in chemistry and time you have a variable (e.g position) and you take the final minus the initial, you get the delta, or change, in position. This can then be used to find a number of problems.
What is the number that corresponds to a certain point on a huber line?
Do you mean a number line?The question you asked contains the answer. Every point on a number line corresponds to a number, and every number has a corresponding point on the number line.
