Point a is located at (2, 6), and point m is located at (−1, 8). if point m is the midpoint of segment ab, find the location of point b.

The location of point B is (-4, 10)

Solution:

Given that, Point A is located at (2, 6), and point M is located at (−1, 8)

Point M is the midpoint of segment AB

To find: Location of Point B

The midpoint "m" of a line with endpoints is given as:

Here in this sum,

Point M (-1, 8) is the midpoint

Substituting the values in formula, we get

Compare the L.H.S and R.H.S

Thus location of point B is (-4, 10)