Which pair of points would yield a line with an undefined slope?
Options
A
(2, 4) and (3, 5)
B
(0, 5) and (2, 6)
C
(13, -2) and (13, 7)
D
(10, 27) and (4, 27)
Answer & Analysis
Answer
C
Analysis
To determine if a line has an undefined slope between two points and , we use the slope formula . A line has an undefined slope when the denominator is equal to , which means the -coordinates of the two points are the same.
Let's analyze each pair of points:
A: and
For these points, , , , and .
The slope .
B: and
Here, , , , and .
The slope
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