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The slope is the ratio of rise over the run. The rise is the change in the vertical distance.

The run is the change in the horizontal distance.


So the slope is the ratio of two changes, horizontal divided by vertical.

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Q: Meaning of the slope as a rate of change?
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Related questions

Is rate of change the same as slope?

Yes, Rate of change is slope


What is the difference between a slope and rate of change?

Depends. Slope of tangent = instantaneous rate of change. Slope of secant = average rate of change.


What is the difference between rate of change and slope?

Slope is blah. Rate of change is blah.


Why can't a vertical line be used to represent rate of change?

the rate of change is related to the slope; the higher the slope, the higher the rate. If the line is vertical, that is infinite slope or infinite rate of change which is not possible


What is the relationship among proportional relationship lines rate of change and slope?

The rate of change is the same as the slope.


How is the steepness of the line is related to the rate of change?

the steepness of the line is the slope of the line which is the rate of change; the steeper the slope, the faster the rate of change


When finding the slope of the trend line what does the slope mean about the data of the scatterplot?

The slope of the trend line is the rate of change of the data. It is the ratio of the change of the dependent variable to the rate of change of the independent variable. Slope represents the value of the correlation.


Why can slope be referred to as rate of change?

Slope can be referred to by rate of change because it is the rate that x changes compared to y on a graph.


Why is the slope called the rate of change?

On a graph, the slope does tell you the rate of change of y with respect to x. If the slope is steep, that means that there is a high rate of change of y with respect to x. If the slope is shallow, then y is not changing that rapidly with respect to x.


What is another name for rate of change?

slope of a line


Why does a constant have a slope of 0?

"Slope" can be thought of as rate of change - and a constant doesn't change.


What does a shallow slope on a graph say about the rate of change?

A low rate of change.