Find the other endpoint of a line segment with the given midpoint and one endpoint.
Endpoint (6, 4): midpoint (3, 5).
To find the other endpoint of a line segment, you can use the midpoint formula.
The midpoint formula is given by:
Midpoint = [(x1 + x2) / 2, (y1 + y2) / 2]
In this case, you are given one endpoint (6, 4) and the midpoint (3, 5). Let's label the other endpoint as (x, y).
Now, you can substitute the known values into the midpoint formula to solve for x and y:
Midpoint = [(x1 + x2) / 2, (y1 + y2) / 2]
(3, 5) = [(6 + x) / 2, (4 + y) / 2]
To solve for x, we can multiply both sides by 2:
2 * (3, 5) = 2 * [(6 + x) / 2, (4 + y) / 2]
(6, 10) = [(6 + x), (4 + y)]
Now, we can equate the corresponding x and y coordinates:
6 + x = 6
4 + y = 10
From the first equation, we get:
x = 0
From the second equation, we get:
y = 6
Therefore, the other endpoint of the line segment is (0, 6).