How do you find the slope of the line x=1?

Apr 1, 2015

Slope is undefined that is $\infty$
Reason:
The line $x = 1$ is an ordinate and all ordinates are parallel to the y-axis.

Another way of thinking of this is that it has an infinitely large slope.

Apr 1, 2015

The definition of slope requires 2 points on a non-vertical line. Alternatively, it requires two points $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} , {y}_{2}\right)$ with ${x}_{1} \ne {x}_{2}$.

The slope of the line $x = 1$ does not exist. Because there are no tow points with different $x$ values on the line.
It is not defined.
This case is not includes in the definition of slope.

(There is also no-slope intercept form, because there isn't a slope to use for $m$.)
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