Question

The midpoint of AB is at (-2,-3).If A=(5,3), find B. B is:

Answer 1

The coordinates of point B are (-9, -9)

Midpoint of Line

From the question, we are to determine the coordinates of point B

Given a line with endpoints (x₁, y₁) and (x₂, y₂)

The midpoint of the line is ((x₁+x₂)/2 , (y₁+y₂)/2)

Thus,

From the given information,

Midpoint of AB is  (-2,-3)

and

A = (5,3)

Let the coordinates of point B be  (x₁, y₁)

Then,

-2 = (5 + x₁)/2

-4 = 5 + x₁

x₁ = -4 - 5

x₁ = -9

Also,

-3 = (3 + y₁)/2

-6 = 3 + y₁

y₁ = -6 - 3

y₁ = -9

Hence, the coordinates of point B are (-9, -9)

Learn on Midpoint of a line here: brainly.com/question/18315903

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