Equation of a line with an undefined slope will be x = k, where k = integer.
Expression for the slope of a line is given by,
Slope = [tex]\frac{\triangle y}{\triangle x}[/tex]
If [tex]\triangle x=0[/tex],
Slope of the line = [tex]\frac{\triangle y}{0}[/tex]
Here the slope of the line will be undefined.
Since, all the points lying on a vertical line will have same x-coordinates will give [tex]\triangle x=0[/tex].
Therefore, all lines perpendicular to x-axis or parallel to y-axis will have undefined slope and equation of the line will be x = k.
Where, k = Integer
Hence, x = k, (k = all integers) will represent a line with undefined slope.
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