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Can a distance versus time graph ever show a horizontal line?
if the speed is zero then the distance versus time line will be horizontal
Could any part of the speed line ever become perfectly vertical?
Assuming that the question refers to a speed-time line, the answer is no. It would require the object to be travelling at infinite speed and, to be accelerated to an infinite speed would require an infinite amount of energy.
Why is knowing how to write an equation of a line important?
Because if you ever want to graph that equation you need the actual equation itself to help you graph it.
What is a straight path that goes on for ever in two directions?
One direction.
How do you detect misleading graphs?
The most popular way misrepresenting data on graph is not starting with zero on the y axis (vertical axis). This can make very small differences look much greater than they are. For example a graph where the y axis starts at 2000 and goes to 2100 a small difference will look large on the graph. Another method is to miss data points on the x axis this is done to to show a trend that doesn't exist in reality. There is no real way of spotting data that is just made up of course except watch out for line graphs where the line exactly matches the data points. In the real world this hardly ever happens.
