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

Explanation:

Since we are given the starting position of the line segment and the length we can simply add or subtract the total length of the line segment to the x or y starting position. This would give us all the possible endpoints that are exactly 5 units away from the starting position in every direction. We can either add or subtract because this would give us the left, right, up, and down directions from the starting position. After making these changes we are left with the following four possible endpoints.

(-1 , -12)

(9 , -12)

(4, -17)

(4, -7)