find the other endpoint of a line segment with
the given midpoint and one endpoint.
Endpoint: (6, 4); midpoint: (3, 5)
What is (0,6)?
(x,y), (3,5), (6,4).
3-x = 6-3.
X = 0.
5-y = 4-5.
To find the other endpoint of a line segment with the given midpoint and one endpoint, you 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 ((x1+x2)/2, (y1+y2)/2).
In this case, you have the endpoint (6, 4) and the midpoint (3, 5). Let's label the other endpoint as (x, y).
Using the midpoint formula, we can set up the following equations:
((x+6)/2, (y+4)/2) = (3, 5)
Now, we can solve these equations to find the values of x and y.
For the x-coordinate:
(x+6)/2 = 3
Multiplying both sides of the equation by 2:
x + 6 = 6
Subtracting 6 from both sides of the equation:
x = 0
For the y-coordinate:
(y+4)/2 = 5
Multiplying both sides of the equation by 2:
y + 4 = 10
Subtracting 4 from both sides of the equation:
y = 6
Therefore, the other endpoint of the line segment is (0, 6).