Question

Find the coordinates of the other endpoint of the​ segment, given its midpoint and one endpoint.​ (Hint: Let​ (x,y) be the unknown endpoint. Apply the midpoint​ formula, and solve the two equations for x and​ y.)
midpoint ​(2​,-16​), endpoint ​(-5​,-10​)

Answer 1

Using the given information, the coordinates of the unknown endpoint are (9, -22)

Midpoint of a line

From the question, we are to determine the coordinates of the other endpoint of the segment

Given a line with endpoints (x₁, y₁) and (x₂, y₂), then the midpoint of the line is

((x₁+x₂)/2, (y₁+y₂)/2)

From the given information,

The midpoint of the segment is (2, -16)

and

One of the endpoints is (-5, -10)

Let the unknown endpoint be (x, y)

Thus, we can write that

2 = (-5 + x)/2

4 = -5 + x

x = 4 + 5

x = 9

Also,

-16 = (-10 + y)/2

-32 = -10 + y

y = -32 + 10

y = -22

Hence, the coordinates of the unknown endpoint are (9, -22)

Learn more on Midpoint of a line here: https://brainly.com/question/28368413

#SPJ1