"Slope" can be thought of as rate of change - and a constant doesn't change.
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.
The slope of a time-distance chart would be a constant. The slope of a time-velocity chart would be 0.
A constant, a flat line
derivative of a constant is 0, because the function of a constant is a line with no change in slope, so d2011/dx=0
For a direct variation equation the constant MUST be 0. Then the ratio of a pair of values of the two variables is the slope.
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.
A line with a constant y-value and a slope of 0 is known as a horizontal line.
The slope equation is y = mx + b where m is slope for y = 3 we have y = 0 (x) +3 so m = 0 = slope So slope is zero line is constant y = 3
if the slope of offer curves is constant, the terms of trad will
Because a slope of zero indicates that the y-value (speed) isn't changing.
The Slope (which represents acceleration) of a constant velocity graph is Zero.
The highest point on a graph is when the derivative of the graph equals 0 or the slope is constant.