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Q: Why does a straight line on a graph show a constant rate of change?
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How do you tell whether a graph shows a constant or variable rate of change?

The slope of each point on the line on the graph is the rate of change at that point. If the graph is a straight line, then its slope is constant. If the graph is a curved line, then its slope changes.


Is the first derivative of a function is a constant then its graph is?

A line. The derivative of a function is its slope. If the slope is a constant then the graph is a line.


How do you know if a function has a constant or variable rate of change?

If the graph is a non-vertical straight line, then the rate of change is constant. If the line is curved, then the rate of change (slope) varies.


Why is the distance time graph a straight line for?

A straight line on a distance - time graph represents a "constant velocity".


How is constant speed shown on a graph?

Constant speed is shown on a graph using straight lines. The straight line indicates that there are no fluctuations with the speed.


How do you create a straight line that slopes up on a position-time graph?

A straight line with a positive slope on a position-time graph is the graph of an object that's moving in a straight line with constant speed.


How do you graph a constant?

The graph of y = c, a constant will be a straight line parallel to the x-axis and c units from it..


What is the distance-time graph for constant speed?

straight line


What will you say about motion of body if distance time graph is straight line having constant angel with time axis?

If the distance/time graph is a straight line that makes a constant angel with the time axis, then the body's speed is constant, and is equal to the slope of the straight line (tangent of the constant angel).


Does a straight line on a motion graph indicates constant speed?

Yes. A straight line indicates constant speed =dy/dt= kt.


How can a position time graph show if an object has constant acceleration?

In that case, the graph would be a straight line.In that case, the graph would be a straight line.In that case, the graph would be a straight line.In that case, the graph would be a straight line.


What is distance -time graph for constant speed?

a sloped straight line