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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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.