Line pb is a line segment on a number line. It has endpoints at -2 and 12. What is the coordinate of its midpoint.

My answer would be the total length pf pb is 14 units so the midpoint would be 7.

the length is correct. But the midpoint is -2+7 = 5.

5 = -2+7 = 12-7

if three points a,b and c are collinear and b is between a and c then ab+bc=ac

To find the coordinate of the midpoint of the line segment pb on the number line, you can use the following formula:

Midpoint = (Endpoint 1 + Endpoint 2) / 2

In this case, the coordinates of Endpoint 1 (left endpoint) is -2 and Endpoint 2 (right endpoint) is 12.

Let's substitute these values into the formula to find the midpoint:

Midpoint = (-2 + 12) / 2

Calculating the expression within the parentheses we get:

Midpoint = 10 / 2

Further simplification gives us:

Midpoint = 5

Therefore, the coordinate of the midpoint of line segment pb on the number line is 5.

To find the coordinate of the midpoint of the line segment pb, you can use the midpoint formula. The midpoint formula states that the x-coordinate of the midpoint is equal to the average of the x-coordinates of the endpoints, and similarly for the y-coordinate (though in this case we're dealing with a number line, so there is no y-coordinate).

The formula is given by:
Midpoint = [(x1 + x2) / 2, (y1 + y2) / 2]

In this case, the endpoints of the line segment pb are -2 and 12. So, substituting these values into the formula, we get:
Midpoint = [(-2 + 12) / 2]
= [10 / 2]
= 5

Therefore, the coordinate of the midpoint of line segment pb is 5.