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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.

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Q: Why is the slope called the rate of change?
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Related questions

What is the rate of change of a line called?

slope


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 constant rate of change This is a grade 7 question...?

what is "constant rate of change"I second that.-alixa constant rate of change is the m in Y=MxB In mathematics, a constant rate of change is called a slope. For linear functions, the slope would describe the curve of the function. The world "constant" in this context means the slope and therefore angle of the curve will not change it can also be called a coefficent


A word for a constant rate of change?

In mathematics, a constant rate of change is called a slope. For linear functions, the slope would describe the curve of the function. The world "constant" in this context means the slope and therefore angle of the curve will not change.


What is the difference between rate of change and slope?

Slope is blah. Rate of change is blah.


What is the rate of change of something?

Depending on the context, the rate of change may be called different things. In algebra, we recognize rate of change as slope. Or, more simply, change in y over change in x. In calculus, the rate of change is the slope of the line tangent to the curve. In terms of chemistry, the rate of change would refer to the reaction rate.


What is the rate of change of (-314)?

Depending on the context, the rate of change may be called different things. In algebra, we recognize rate of change as slope. Or, more simply, change in y over change in x. In calculus, the rate of change is the slope of the line tangent to the curve. In terms of chemistry, the rate of change would refer to the reaction rate.


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.