how do i find the coordinates of the midpoint of a segment having given the endpoint?
K(-9,3),H(5,7)
Just noticed that Damon had given you the formula for finding the midpoint.
xm = (-9+5)/2 = -2
ym = (3+7)/2 = 5
so the midpoint is (-2,5)
To find the coordinates of the midpoint of a segment, you can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint (M) of a line segment with endpoints (x1, y1) and (x2, y2) can be found using the following formula:
M = ((x1 + x2) / 2 , (y1 + y2) / 2)
In your case, you have the endpoints K(-9, 3) and H(5, 7).
Using the midpoint formula, you can calculate the coordinates of the midpoint as follows:
x-coordinate of midpoint = (x1 + x2) / 2
y-coordinate of midpoint = (y1 + y2) / 2
Substituting the given values:
x-coordinate of midpoint = (-9 + 5) / 2 = -4 / 2 = -2
y-coordinate of midpoint = (3 + 7) / 2 = 10 / 2 = 5
Therefore, the midpoint of the segment with endpoints K(-9,3) and H(5,7) is M(-2, 5).