A line on a graph with zero slope is a horizontalline.
' Y ' is the same number at every point on the line.
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distance = velocity x time so on the graph velocity is slope. If slope is zero (horizontal line) there is no motion
in a graph, a line with a zero slope is the one that is parallel to the x-axis. It is represented by an equation of the form y = a constant, independent of x values.
The derivate of zero - as well as the derivative of ANY constant (non-variable) number, is zero. (A graph of y = 0 for example will be a horizontal line - the slope is zero.)
less steep (apex)
This depends on what the graph represents. If it is a graph of velocity on the vertical and time on the horizontal, then if acceleration is at a constant rate, the graph will be a straight line with positive slope (pointing 'up'). If acceleration stops, then the graph will be a horizontal line (zero acceleration or deceleration). If it is deceleration (negative acceleration), then the graph will have negative slope (pointing down).