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How is the steepness of the line is related to the rate of change?
Wiki User
∙ 6y ago
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
Wiki User
∙ 6y ago
Wiki User
∙ 6y agoDepending on how the steepness is measured, it IS the rate of change.
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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
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.
What does the slope of a line tell you on a graph?
the rate of change on the line.
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.
The constant rate of change between two points on a line?
The constant rate of change between two points on a line is called slope.
Is the following function linear or nonlinear If linear, state the rate of change?
o function is given. However, if linear , then the rate of change is the same as the steepness of the graph line.
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
Is the rate of change for a vertical line 0?
no. the rate of change is undefined.
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.
What does the slope of a line tell you on a graph?
the rate of change on the line.
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.
The constant rate of change between two points on a line?
The constant rate of change between two points on a line is called slope.
Does a steep curve on a line graph indicate rapid or a slow rate of change?
A rapid rate of change (which looks like this, U). A slow rate of change would have a slowly declining line like this (\ \ \ )
What is the rate of change of a line called?
slope
What does a slope of a line tell you?
The rate of change
Does a steep curve on a line graph indicate a rapid or slow rate of change?
A rapid rate of change (which looks like this, U). A slow rate of change would have a slowly declining line like this (\ \ \ )
Is the constant rate of change a line called the rise of the line?
No.No.No.No.
