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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.
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How do you find a slope in a line?
the slope of a line = the Change in Y divided by the Change in X
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 the slope of a line tell you on a graph?
the rate of change on the line.
Define slope of a line?
Rise/Run (The rise of the slope divided by the run of the slope.)
Some lines have no slope?
A horizontal line has a slope of zero. For a vertical line, the slope is not defined (change of y / change of x would result in a division by zero).A horizontal line has a slope of zero. For a vertical line, the slope is not defined (change of y / change of x would result in a division by zero).A horizontal line has a slope of zero. For a vertical line, the slope is not defined (change of y / change of x would result in a division by zero).A horizontal line has a slope of zero. For a vertical line, the slope is not defined (change of y / change of x would result in a division by zero).
How do you find a slope in a line?
the slope of a line = the Change in Y divided by the Change in X
What happens to the line and its slope if you zoom in or out?
The slope of a line doesn't change if you zoom in or out.
How do you test if the slope of line A is statistically different from the slope of line B?
Look at them.
The slope of a given line is -2. What is the slope of a line that is parallel to the given line?
It will have the same slope of -2 but the y intercept of the line will be different
What is another name for rate of change?
slope of a 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
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.
How does a line graph line with a steeper slope compare to one with a shallower slope?
The slope will tell you how much change of Y to X >.
Which value for slope represents the steepest line?
The slope of a line is the change in y coordinates divided by the change in x coordinates. Zero is the slope of a flat line. The steeper the line, the greater the value of the slope. For instance a slope of 587 is steeper than a slope of 48. A vertical line is not given a slope measurement - it is said to be indeterminate, so there is no representation for the "steepest" line. An extremely steep line will have a slope value approaching plus or minus infinity.
What is the slope of Line k has a slope of 23. If line m is parallel to line k then it has a slope of?
If both lines are parallel then they will have the same slope but with different y intercepts
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
