one endpoint of a line segment has coordinates(-3,-1). The midpoint of the line segmaent is at (1,1), what is the location of the other end point?
you use the midpoint formula to find the midpoint, but since you already know the midpoint, and one of the endpoints, plug in what you know in to the formula, and solve for the other endpoint.
?
let the other endpoint be (a,b)
then (a-3)/2 = 1 and (b-1)/2 = 1
a = 5 and b = 3
test it by finding the midpoint between (5,3) and (-3,-1)
Thanks a lot, i think you are very smart reiny
thanks for your help y912
To find the location of the other endpoint of the line segment, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint of a line segment are the average of the coordinates of its endpoints.
Given that one endpoint has coordinates (-3, -1) and the midpoint has coordinates (1, 1), we can apply the midpoint formula to find the missing endpoint.
Let's denote the missing endpoint as (x, y). According to the midpoint formula, the coordinates of the midpoint are the average of the x-coordinates and the average of the y-coordinates of the endpoints.
x-coordinate: (x1 + x2) / 2 = (1 + (-3)) / 2 = -2 / 2 = -1
y-coordinate: (y1 + y2) / 2 = (1 + (-1)) / 2 = 0 / 2 = 0
Therefore, the missing endpoint has coordinates (-1, 0).