How do you find the slope of the line passing through the points (2,4) and (2,-4)?

1 Answer
George C.
Dec 13, 2016

undefined

Explanation:

The slope #m# of a line passing through 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)#

In our example:

#m = ((-4)-4)/(2-2) = -8/0" "# which is undefined.

The result of division by #0# is (almost always) undefined.

So the slope is undefined.

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