Question

Any line with an undefined slope is parallel to the



x-axis


y-axis


line y = x

Answer 1

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The best and most correct answer among the choices provided by the question is y-axis.       
    
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Answer 2

Answer:

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.