Question #03596

2 Answers
Dec 5, 2017

Undefined.

Explanation:

From the above graph:
If you were to take 2 arbitrary points on the line and determine the slope, the following would be the result;

#Slope (m) = (y_2 - y_1)/(x_2 - x_1) #

Taking coordinates (1,1) and (1,2), we get:

#m = (2-1)/(1-1) = 1/0#
Since, anything divided by zero equals Undefined.

Therefore, the Slope(m) of the line is Undefined.

Dec 7, 2017

Undefined.

Explanation:

Even though it may seem irrelevant to the question, I will explain why the slop is undefined.

Here is one of the many reasons.
If #1/0# is infinity, then we can say that #2/0# is also infinity.(By the way, infinity is only a quantity, not a number)

By our rule that if #a/b=c/b# then #a=c#, it results this:#1=2# which we know is not true.

Therefore, the line is undefined.