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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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How do you determine the rate of change in a graph?

Rate of change is essentially the same as the slope of a graph, that is change in y divided by change in x. If the graph is a straight-line, the slope can be easily calculated with the formula:Vertical change ÷ horizontal change = (y2 - y1) / (x2 - x1)


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

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Does a steep curve on a line graph indicate a rapid or 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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What is the slope of the line tangent to the curve on a position-time graph at a specific time?

The slope of the tangent line in a position vs. time graph is the velocity of an object. Velocity is the rate of change of position, and on a graph, slope is the rate of change of the function. We can use the slope to determine the velocity at any point on the graph. This works best with calculus. Take the derivative of the position function with respect to time. You can then plug in any value for x, and get the velocity of the object.