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They are the same for a straight line but for any curve, the slope will change from point to point whereas the average rate of change (between two points) will remain the same.
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∙ 12y ago
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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
What does a shallow slope on a graph say about the rate of change?
A low rate of change.
Can a rate change and the slope of the line be different quantities?
The instantaneous rate change of the variable y with respect to x must be the slope of the line at the point represented by that instant. However, the rate of change of x, with respect to y will be different [it will be the x/y slope, not the y/x slope]. It will be the reciprocal of the slope of the line. Also, if you have a time-distance graph the slope is the rate of chage of distance, ie speed. But, there is also the rate of change of speed - the acceleration - which is not DIRECTLY related to the slope. It is the rate at which the slope changes! So the answer, in normal circumstances, is no: they are the same. But you can define situations where they can be different.
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.
Is rate of change the same as slope?
Yes, Rate of change is slope
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.
What is the rate in math?
The rate, or rate of change is like an average all except it has to do with the slope of a line instead of a group of numbers. Finding the rate of change is like finding an average except you use the points on the graph instead of numbers in a group.
Is the slope of a line the average rate of change of the linear function?
yes, aka rise over run.
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
