# It’s like the difference between ##0/1## and ##1/0##. ##0/1 = 0## but ##1/0## is undefined.

It’s like the difference between ##0/1## and ##1/0##.
##0/1 = 0## but ##1/0## is undefined.

The ##m## of a line passing through two points ##(x_1, y_1)## and ##(x_2, y_2)## is given by the formula:
##m = (Delta y) / (Delta x) = (y_2 – y_1) / (x_2 – x_1)##
If ##y_1 = y_2## and ##x_1 != x_2## then the line is horizontal: ##Delta y = 0##, ##Delta x != 0## and ##m = 0 / (x_2 – x_1) = 0##
If ##x_1 = x_2## and ##y_1 != y_2## then the line is vertical: ##Delta y != 0##, ##Delta x = 0## and ##m = (y_2 – y_1) / 0## is undefined.

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