Your question asks what the slope of a Position vs. Time graph represents.
Your answer would be Velocity.
The slope of a Position vs. Time graph would represent the velocity of the object.
If the slope is positive, then the object has a positive velocity ,in which it is going forward.
If the slope is negative, then the object has a negative velocity, which means that it's going the opposite direction, or backwards.
If the slope is at a "horizontal" position, this means that the object is stopped or isn't moving at all.
<em>Ten games</em> will be played.
The first team can be any one of 5 . For each of those, the opponent can be any one of the other 4 .
Number of ways to pair them up = (5 x 4) = 20 ways .
<em>BUT</em> ... Whether the Reds play the Blues, or the Blues play the Reds, it's the SAME GAME. Each possible game shows up twice in the list of 20 ways. So there are really only 10 different pairs ==> <em>10 games</em> .
