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No - a line graph may peak and trough depending on the data marked on the graph - a bit 'like join the dots'.
Yes. The slope, or rate, is constant. The rate being represented is speed. If the slope is a negative constant, the object is losing distance (going towards) from the orgin at at a constant speed.
Yes, it is true; slope zero is no slope.
That's true at the point (0.5, 0.25) where the slope of the graph is ' 1 ' .
True.