Answer:
The coordinates of other point (x, y) are (4,1).
i.e. (x, y) → (4,1)
Step-by-step explanation:
Let AB be the segment where
- The coordinate A(0, 9)
- M(2, 5)
and we have to find the point B.
Let us assume the other point is (x, y)
As we know that
- The midpoint is halfway between the two end points, meaning midpoint coordinates are basically termed as the average of the corresponding endpoint coordinates.
So,
Determining x-coordinate of (x, y)
[tex]\frac{x+0}{2} =2[/tex]
[tex]x=4[/tex]
Determining y-coordinate of (x, y)
[tex]\frac{y+9}{2} =5[/tex]
[tex]y+9 =10[/tex]
[tex]y=1[/tex]
Hence, the coordinates of other point (x, y) are (4,1).
i.e. (x, y) → (4,1)
Keywords: midpoint, segment, endpoint, coordinates
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