Which two points lie on a line with an undefined slope?A.(0,0) and (2,2)B.(3,0) and (2,0)C.(-2,0) and (-2,5)D.(-2,0) and (0,-2)
Question
Which two points lie on a line with an undefined slope?A.(0,0) and (2,2)B.(3,0) and (2,0)C.(-2,0) and (-2,5)D.(-2,0) and (0,-2)
Solution
The slope of a line is defined as the change in y divided by the change in x (also known as rise over run). When the slope of a line is undefined, it means the denominator (change in x) is zero. This happens when you have a vertical line, where all x-values are the same.
Let's check each pair of points:
A. (0,0) and (2,2): The change in x is 2 - 0 = 2, so the slope is not undefined.
B. (3,0) and (2,0): The change in x is 2 - 3 = -1, so the slope is not undefined.
C. (-2,0) and (-2,5): The change in x is -2 - (-2) = 0, so the slope is undefined.
D. (-2,0) and (0,-2): The change in x is 0 - (-2) = 2, so the slope is not undefined.
So, the pair of points that lie on a line with an undefined slope is C. (-2,0) and (-2,5).
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