The slope of the line passing through points is option (A) undefined is the correct answer.
The slope or gradient of a line is a number that describes both the direction X and Y and the steepness of the line. It is the ratio of the vertical change to the horizontal change between any two distinct points on a line.
For the given situation,
The line passing through points (x1, y1) is (5, 12) and (x2,y2) is (5, -13)
The formula of slope of line is
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
⇒ [tex]m=\frac{-13-12}{5-5}[/tex]
⇒ [tex]m=\frac{-25}{0}[/tex]
⇒ [tex]m=\infty[/tex]
Since x1 = x2, there is no horizontal change. The line passes as a straight line.
Hence we can conclude that the slope of the line passing through points is option (A) undefined is the correct answer.
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