00:01
So in the given question, we are given the midpoint and one of the end points of a line segment, right? and let's say the line segment is a, b, right? so the coordinates of the midpoint, let's take the midpoint as m, is given as 5 -8, and one of the ends is given as 13 -10.
00:29
And we are told to find the coordinates of the point, the other endpoint, and let's take it as ab, right? so we can use the midpoint formula over here, which says that a line segment joining, the points, the line segment joining, the points x1, y1, and x2, y2 will have its midpoint, will have its midpoint, will have its midpoint, at the coordinates x1 plus x2 divided by 2 and y1 plus y2 divided by 2.
01:10
So we can take x1 y1 as a and x2 y2 as b.
01:16
So if that's the case the midpoint of the line segment would be at the coordinate a plus 13 by 2 and b plus 10 divided by 2.
01:30
But we are already even the coordinates of the midpoint as 5 -8 right so we can equate these two coordinates as a plus 13 divided by 2 would be equal to 5 which means a plus 13 is equal to a plus 13 is equal to 5 times 2 which is equal to 10 and a would be equal to 10 minus 13 which is equal to minus 3 next we can take the y coordinate which is b plus 10 divided by 2 which would be equal to 8...