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PB¯¯¯¯¯
is a line segment on a number line. It has endpoints at −2
and 12. What is the coordinate of its midpoint?
To find the coordinate of the midpoint of line segment PB¯¯¯¯¯, we can use the midpoint formula.
The midpoint formula states that the x-coordinate of the midpoint is the average of the x-coordinates of the two endpoints, and the y-coordinate of the midpoint is the average of the y-coordinates of the two endpoints.
In this case, the x-coordinates of the endpoints are -2 and 12. To find the average, we add the two x-coordinates together and divide by 2:
(-2 + 12) / 2 = 10 / 2 = 5
Therefore, the x-coordinate of the midpoint is 5.
Since PB¯¯¯¯¯ is on a number line, there is no y-coordinate. The coordinate of the midpoint is simply 5.
To find the coordinate of the midpoint of the line segment PB, you need to calculate the average of the coordinates of the endpoints.
The coordinate of the midpoint can be found using the formula:
Midpoint = (coordinate of 1st endpoint + coordinate of 2nd endpoint) / 2
Given that the endpoints of the line segment PB are -2 and 12, we can substitute these values into the formula:
Midpoint = (-2 + 12) / 2
Simplifying the equation:
Midpoint = 10 / 2
Midpoint = 5
Therefore, the coordinate of the midpoint of the line segment PB is 5.