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A straight line with a positive slope on a position-time graph is the graph of an object that's moving in a straight line with constant speed.
An undefined slope is just a line straight down. The slope is undefined.
a verticla line
A straight line cannot have two slopes. A curve, however, might have a different slope at every different point.
The horizontal line represents that the acceleration is zero or constant speed and the line that slopes downward means that the object is slowing down and it is a negative acceleration.