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with y=mx+b

dy/dx=m

d^2.y/dx^2=0

The rate of change is 0

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Q: A graph that is a line has a rate of change?
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What does the slope of a line tell you on a graph?

the rate of change on the line.


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.


How do you figure how the rate of change by looking at a graph?

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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.


What does the slope mean on a line graph?

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Does a steep curve on a line graph indicate rapid or a slow rate of change?

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When a graph of one quantity versus another results in a straight line the quantities are?

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