Question

A (-3,-5) M (-13,0) find point B

Answer 1

B(-23, 5)

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Use the midpoint formula.

The midpoint formula states that the coordinates of the midpoint M is the average of the coordinates of the endpoints A and B.

In this case, we are given the coordinates of endpoint A (-3, -5) and midpoint M (-13, 0).

Using the midpoint formula, we can set up the following equations:

• (x₁+ x₂)/2 = xM
• (y₁ + y₂)/2 = yM

Plugging in the given values, we get:

• (-3 + x₂)/2 = -13
• (-5 + y₂)/2 = 0

Simplifying, we find:

• -3 + x₂ = -26
• -5 + y₂ = 0

Solving for x₂ and y₂, we get:

• x₂ = -26 + 3 = -23
• y₂ = 0 + 5 = 5

Therefore, the other endpoint B is (-23, 5).