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Find the midpoint of the segment with the given endpoints.
D(1, 2) and E(–3, 6)
(4, 64)
(–1, 4)
(–7, 10)
(–2, 2)
Is there a formula for finding the midpoint between two endpoints?
yes - the midpoint is the average of the two endpoints.
For example, if the ends are (2,3) and (7,-5) the midpoint is
((2+7)/2,(3+(-5))/2) = (9/2,-1)
In general
((x1+x2)/2,(y1+y2)/2)
To find the midpoint of a line segment, you can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint (M) between two points (D and E) with coordinates (x₁, y₁) and (x₂, y₂) respectively are:
M = ( (x₁ + x₂)/2 , (y₁ + y₂)/2 )
In this case, point D has coordinates (1, 2) and point E has coordinates (-3, 6).
Using the midpoint formula, we can find the coordinates of the midpoint:
x-coordinate of M = (1 + (-3))/2 = -1/2
y-coordinate of M = (2 + 6)/2 = 8/2 = 4
Thus, the midpoint of segment DE is (-1/2, 4), which corresponds to the answer (–1, 4).