pb is a line segment on a number line. it has endpoint at -2 and 12. what is the coordinate of it's midpoint? Show your work so that way i can understand it

A number line is a hor. line:

P(-2,0), M(x,0), B(12,0).

x-(-2) = (12-(-2))/2.
x+2 = (12+2)/2.
X = ?

9
-2,0)

The midpoint is just the average of the ends. So, it is at (-2+12)/2 = 5

check:
-2 = 5-7
12 = 5+7

To find the midpoint of the line segment PB, we need to find the average of the coordinates of its endpoints. In this case, the endpoints of PB are -2 and 12.

To find the average, we add the two endpoints and divide the sum by 2. Mathematically,

Midpoint of PB = (Endpoint 1 + Endpoint 2) / 2

In this case,

Midpoint of PB = (-2 + 12) / 2

Simplifying further,

Midpoint of PB = 10 / 2

Midpoint of PB = 5

Therefore, the coordinate of the midpoint of PB is 5.

By adding the coordinates of the endpoints and dividing by 2, we find the average and thereby locate the midpoint on the number line at coordinate 5.