A line segment has (x1, y1) as one endpoint and (xm, ym) as its midpoint. Find the other endpoint (x2, y2) of the line segment i

Question

2 days ago

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A line segment has (x1, y1) as one endpoint and (xm, ym) as its midpoint. Find the other endpoint (x2, y2) of the line segment i

n terms of x1, y1, xm, and ym. Use the result to find the coordinates of the endpoint (x2, y2) of each line segment with the given endpoint (x1, y1) and endpoint (xm, ym).
(a)

(x1, y1) = (1, −4), (xm, ym) = (2, −1)

(x2, y2)=

(b)

(x1, y1) = (−9, 19), (xm, ym) = (5, 6)

(x2, y2)=

Mathematics

2 answers:

PIT_PIT [9.1K] · Answer 1 · 2026-03-26T05:40:24+03:00

Using the midpoint formula, we find: (a) ((x,y)) = (3,2) and (b) ((x,y)) = (19,-7). A segment’s midpoint lies equidistant between its two endpoints, determined via specific formulas. To isolate $x_{2}$ , we can replace the known values and compute to find the corresponding endpoint for each case.

Svet_ta [9.5K] · Answer 2 · 2026-03-26T05:41:58+03:00

Svet_ta [9.5K]2 days ago

8 0

D is the correct option, as I answered it correctly on the test and received confirmation from the teacher.