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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?
(2 points)
To find the coordinate of the midpoint of PB¯¯¯¯¯, we can use the midpoint formula.
The midpoint formula states that the midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) is given by the coordinates:
(midpoint_x, midpoint_y) = ((x₁ + x₂)/2, (y₁ + y₂)/2)
In this case, P has the coordinate -2, and B has the coordinate 12.
Using the midpoint formula, we can find the coordinate of the midpoint of PB¯¯¯¯¯:
(midpoint_x, midpoint_y) = ((-2 + 12)/2, (0 + 0)/2)
Simplifying this expression, we have:
(midpoint_x, midpoint_y) = (10/2, 0/2)
Which gives us:
(midpoint_x, midpoint_y) = (5, 0)
Therefore, the coordinate of the midpoint of PB¯¯¯¯¯ is 5.