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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

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Q: Why can't a vertical line be used to represent rate of change?
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Does a vertical line represent a function?

no


Does x6 represent a vertical line?

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The vertical change of a line?

The vertical change is called the rise.


A vertical line in an x-y coordinate system?

A vertical line in the xy coordinate plane would represent the line of an equation such as x = 1 or x = -4.


Why cant you find ymx b to find the equation of a vertical line?

Because in a vertical line the slope is undefined, there is no "y" answer or "b" value and the line is in the form of x = some number such as x = 3 which is a vertical line.


Does the graph of x equals -3 represent a vertical graph?

Yes, x = -3 would represent a vertical line at abscissa -3, parallel to the y-axis.


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the slope


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It represents the fact that a small change in the variable which is plotted on the horizontal axis with the given scale, is associated with a large change in the variable potted on the vertical axis with its scale.Note that the steepness can be changed by simply increasing the scale factor on the horizontal axis or decreasing it on the vertical axis.


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).


Does a sideways parabola represent a function?

No, it does not. You can tell if something is a function or not by using the vertical line test. If there is more than one point at any vertical line, it is not a function.


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slope