Question

The coordinates of one endpoint of a line segment are (4, −12). The length of the segment is 5 units. Determine four coordinate pairs that could serve as the other endpoint of the given line segment. Enter all four coordinate pairs in the box using a comma to separate each pair. For example: (0, 0), (1, 1), (2, 2), (3, 3)

Answer 1

Four coordinate pairs that could serve as the other endpoint of the given line segment are given by: (9,-12), (-1,-12), (4,-7), (4,-17).

Explanation:

One endpoint of (4,-12), length of 5 units.

Four possible pairs:

Add 5 to x, keep y: (4+5,-12) = (9,-12).

Subtract 5 from x, keep y: (4-5,-12) = (-1,-12).

Keep x, add 5 to y: (4,-12+5) = (4,-7)

Keep x, subtract 5 from y: (4,-12-5) = (4,-17)

Four coordinate pairs that could serve as the other endpoint of the given line segment are given by: (9,-12), (-1,-12), (4,-7), (4,-17).