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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

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

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no

Shabadabadingdong.

The vertical change is called the rise.

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

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.

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no

Shabadabadingdong.

The vertical change is called the rise.

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

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.

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.

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

the 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).

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.

The "vertical line test" will tell you if it is a function or not. The graph is not a function if it is possible to draw a vertical line through two points.

If you mean in regard to organizational charts, the vertical lines represent the hierarchy who reports to whom, while the horizontal lines represent lateral or peer associations rather than chain of command.,