(-1, 4) is the midpoint of the segment with endpoints at (-2,-1) and (0, 9). This can be obtained by using the formula for finding the midpoint of a line segment.
Find the midpoint of the line segment:
When the end points of a line segment are known, the mid point of the line segment is calculated using the midpoint formula,
Midpoint formula,
[tex](\frac{x_{1}+x_{2} }{2},\frac{y_{1}+y_{2} }{2})[/tex]
(x₁, y₁) and (x₂, y₂) are the endpoints of the line segment.
⇒ This means that, the midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) is [tex](\frac{x_{1}+x_{2} }{2},\frac{y_{1}+y_{2} }{2})[/tex].
From the question it is given that,
are the endpoints of the line segment.
By using the Midpoint formula we get,
[tex](\frac{x_{1}+x_{2} }{2},\frac{y_{1}+y_{2} }{2})[/tex] = [tex](\frac{-2+0 }{2},\frac{-1+9}{2})[/tex]
[tex](\frac{x_{1}+x_{2} }{2},\frac{y_{1}+y_{2} }{2})[/tex] = [tex](-1, 4)[/tex]
Hence (-1, 4) is the midpoint of the segment with endpoints at (-2,-1) and (0, 9).
Learn more about midpoint here:
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