Find the other endpoint of a line segment with the given midpoint and one endpoint.
Endpoint: (0, 0); Midpoint: ( 2, -8)
Think on this: x is twice half the x change 0+2 ,or x endpoint is 2*2: x=4
y endpoint is twice the change from end to mid, or 2*(0-8) or y endpoint is -16
(4,-16)
l have math test and l dont know how i do that
To find the other endpoint of a line segment given the midpoint and one endpoint, you can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint of a line segment can be found by taking the average of the coordinates of its endpoints.
Let's denote the coordinates of the other endpoint as (x, y). We know that the midpoint of the line segment is (2, -8), and one endpoint is (0, 0).
Using the midpoint formula, we can set up the following equations:
(x + 0) / 2 = 2
(y + 0) / 2 = -8
Simplifying the equations, we have:
x / 2 = 2
y / 2 = -8
To find x, we multiply both sides of the first equation by 2:
x = 2 * 2
x = 4
To find y, we multiply both sides of the second equation by 2:
y = -8 * 2
y = -16
Therefore, the other endpoint of the line segment is (4, -16).
(0,0), (2,-8), (x,y).
2-0 = x-2.
X = 4.
-8-0 = y-(-8).
Y = -16.