Question

The midpoint of AB is M 0,3 . If the coordinates of A are -4,-2, what are the

coordinates of B?

Answer 1

To find the coordinates of point B, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint M between two points (x₁, y₁) and (x₂, y₂) can be found using the following formulas:

x-coordinate of midpoint (M) = (x₁ + x₂) / 2

y-coordinate of midpoint (M) = (y₁ + y₂) / 2

In this case, we know the coordinates of point M as (0,3) and the coordinates of point A as (-4,-2). Let's substitute these values into the midpoint formula:

x-coordinate of midpoint (M) = (-4 + x₂) / 2 = 0

Solving for x₂:

-4 + x₂ = 0

x₂ = 4

y-coordinate of midpoint (M) = (-2 + y₂) / 2 = 3

Solving for y₂:

-2 + y₂ = 6

y₂ = 8

Therefore, the coordinates of point B are (4, 8).