Hence, Any line with an undefined slope is parallel to the y-axis.
Step-by-step explanation:
We know that the slope of a line is calculated as:
To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .
For the slope to be undefined the change in the x-value must be zero so that the denominator will be zero and hence the slope is undefined.
This means that x-value is constant.
This means that the line is parallel to y-axis since if the line is parallel to y-axis then the y-value changes and x remains constant.
Hence, Any line with an undefined slope is parallel to the y-axis.