The midpoint of line segment AB is (3.5, 1). Point A is at (2, 6). Where is point B located?

Answer 1

To find the location of point B, we need to use the formula for the midpoint of a line segment.

The formula for the midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) is:
Midpoint = ((x₁ + x₂)/2, (y₁ + y₂)/2)

Given that the midpoint is (3.5, 1) and point A is at (2, 6), we can substitute these values into the formula and solve for point B.

((2 + x₂)/2, (6 + y₂)/2) = (3.5, 1)

Simplifying the equation, we get:

(2 + x₂)/2 = 3.5
6 + y₂)/2 = 1

Now we can solve for x₂ and y₂:

2 + x₂ = 3.5 * 2
6 + y₂ = 1 * 2

2 + x₂ = 7
6 + y₂ = 2

Subtracting 2 from both sides of the first equation, we get:

x₂ = 5

Subtracting 6 from both sides of the second equation, we get:

y₂ = -4

Therefore, point B is located at (5, -4).