How do you find the slope for x=1?

1 Answer
George C.
Feb 4, 2017

Its slope is undefined.

Explanation:

If we are given two distinct points #(x_1, y_1)# and #(x_2, y_2)# through which a line passes, then its slope #m# is given by the formula:

#m = (Delta y)/(Delta x) = (y_2-y_1)/(x_2-x_1)#

The given equation #x=1# describes a vertical line passing through all points of the form #(1, y)#, including #(x_1, y_1) = (1, 0)# and #(x_2, y_2) = (1, 1)#.

So its slope is given by the formula:

#m = (y_2-y_1)/(x_2-x_1) = (1-0)/(1-1) = 1/0#

which is undefined.

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