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What is the rate of change and how is it like the slope of a line?
Wiki User
∙ 11y ago
For a line, the rate of change is the slope of a function.
Example:
y = 5x + 10
The slope is 5. Every time x moves 1"unit", y moves 5 "units".
The rate of change would be stated as rise / run. 5 units / 1 unit = 5
Wiki User
∙ 11y ago
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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
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 does a slope of a line tell you?
The rate of change
What is the rate of change of a line called?
slope
What does the slope of a line tell you on a graph?
the rate of change on the line.
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
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
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 another name for rate of change?
slope of a line
What is the rate of change of a line called?
slope
What does a slope of a line tell you?
The rate of change
What does the slope of a line tell you on a graph?
the rate of change on the line.
What function does the slope of a line model?
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.
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 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.
When the rate of change between any two points on a line is negative What is the slope of the line?
No
