For water the line has a negative slope (vs carbon dioxide). This explains why ice floats since volume decreases with increasing pressure as we move upward on the phase diagram from solid to liquid water, the volume occupied by H20 decreases and thus water must be increasing in density.
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For a negative slope, the rise is negative and the run is positive.
Positive correlation has a positive slope and negative correlation has a negative slope.
If a line has a negative slope it is going 'down hill' and if it has a positive slope it is going 'up hill'
Yes.
Negative Slope can be your speed, position, and/or acceleration, as long as you X increases but your Y decreases.