Question

The coordinates of one endpoint of a line segment are (4, -12). The length of the segment is 5 units. Determine four coordinates that could serve as the other

endpoint of the given line segment

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).