Question
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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?
PB¯¯¯¯¯
is a line segment on a number line. It has endpoints at −2
and 12. What is the coordinate of its midpoint?
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Answered by
GPT 3.5
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.
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.
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