Question

Point M is the midpoint of AB. The coordinates of point A are (−8, 1) and the coordinates of M are (−3, 3). What are the coordinates of point B?

Answer 1

Point B coordinates = (2, 5)

Explanation:

The midpoint formula:

The midpoint formula is given by:

M = (x1 + x2) / 2, (y1 + y2) / 2, where

• M are the coordinates of the midpoint,
• (x1, y1) are the coordinates of one endpoint,
• and (x2, y2) are the coordinates of the endpoint.

Finding the x-coordinate of point B:

We can find the x-coordinate of point B (x2 in the midpoint formula) by substituting -3 for M and -8 for x1:

(-3 = (-8 + x2) / 2) * 2

(-6 = -8 + x2) + 8

2 = x2

Thus, the x-coordinate of point B is 2.

Finding the y-coordinate of Point B:

We can find the y-coordinate of point B (y2 in the midpoint formula) by substituting 3 for M and 1 for y1:

(3 = (1 + y2) / 2) * 2

(6 = 1 + y2) - 1

5 = y2

Thus, the y-coordinate of point B is 5.

Determining the coordinates of point B:

Therefore, the coordinates of Point B are (2, 5)