Because the slope measures the rate of change. The word "CONSTANT" means no change so there is no rate of change.
Having said that, it will not have a slope of zero if you are plotting displacement against time.
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Because a slope of zero indicates that the y-value (speed) isn't changing.
if you define y = constant then the slope of any constant is 0 so if you define the line y = 0 the slope of 0 is 0.
Slope at any point is speed. if slope is constant (staight line)then speed is constant; if curved up speed is accelerating. If curved down it is decelerating
It is 1 unit of distance per 1 unit of time.
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.