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which could be the slope of a line that contains (1, 1) and passes between the points (0, 2) and (0, 3)?

User Thegio
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1 Answer

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Answer:

The points (0, 2) and (0, 3) have the same x-coordinate, which means they lie on a vertical line.

For a vertical line, the slope is undefined because there is no change in the y-coordinate as the x-coordinate remains constant. Therefore, we cannot determine the slope of a line that passes through the points (0, 2) and (0, 3).

However, if we consider the point (1, 1), the slope between this point and either of the vertical points would also be undefined since there is no change in x-coordinate.

In summary, the slope cannot be determined or defined for a vertical line passing through these points.

Explanation:

The points (0, 2) and (0, 3) have the same x-coordinate, which means they lie on a vertical line.

For a vertical line, the slope is undefined because there is no change in the y-coordinate as the x-coordinate remains constant. Therefore, we cannot determine the slope of a line that passes through the points (0, 2) and (0, 3).

However, if we consider the point (1, 1), the slope between this point and either of the vertical points would also be undefined since there is no change in x-coordinate.

In summary, the slope cannot be determined or defined for a vertical line passing through these points.

User Aaron Antrim
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8.3k points

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