Find the other endpoint of a line segment with the given midpoint and one endpoint.
Endpoint: (0, 0); Midpoint: ( 4, -2)
Ok, here is the y endpoint: -4
what do you think is the x endpoint?
positive 2?
how zdo you find the endpoint of a segment?
(0,0), (4,-2), (x,y).
4-0 = x-4.
X = 8.
-2-0 = y-(-2).
Y = -4.
To find the other endpoint of a line segment with the given midpoint and one endpoint, we can use the formula for finding the midpoint of a line segment:
Midpoint = ( (x1 + x2) / 2 , (y1 + y2) / 2)
In this case, we have the midpoint (4, -2) and one endpoint (0, 0). Let's call the other endpoint (x, y).
Using the formula, we can express the coordinates of the midpoint and one endpoint as:
4 = (0 + x) / 2
-2 = (0 + y) / 2
Simplifying the equations:
4 = x/2
-2 = y/2
To solve for x, we can multiply both sides of the equation by 2:
4 * 2 = x
8 = x
To solve for y, we can multiply both sides of the equation by 2:
-2 * 2 = y
-4 = y
Therefore, the other endpoint of the line segment is (8, -4).