The slope of the line on a graph of position vs. time is a representation of the speed.
When the speed increases, its representation on the graph increases, otherwise it
wouldn't be called a "representation".
The appearance of a person's hair-do in a photograph is a representation of the length of his hair.
If his hair gets longer, then it appears longer in the snapshot. But you wouldn't ask (I hope) ...
"Why does his hair get longer when it looks longer in the picture?"
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Negative Slope can be your speed, position, and/or acceleration, as long as you X increases but your Y decreases.
A slope does not have any speed.
If the frequency remains constant, then the wavelength increases.
Velocity = Frequency * Wavelength. If the wavelength increases and the frequency stays the same, then the speed of the wave will increase.
The slope increases.