One endpoint of a line segment is (8,-1). The point (5,-2) is one-third of the way from that endpoint to the other endpoint. Find the other endpoint.
Follow the same steps I just showed you in the previous question
(5,-6)
(-1,4)
other endpoint for
(6,9)= (10+2/2. 12+x/2)
(-1,-4)
one endpoint of a line segment is (8,-1) , the point (5,-2) is one-third of the way from that endpoint to the other endpoint. find the endpoint.
To find the other endpoint of the line segment, we can use the concept of the midpoint formula. The midpoint of a line segment is the point that is equidistant from both endpoints.
Let's assume that the other endpoint is (x, y).
According to the problem, the point (5, -2) is one-third of the way from (8, -1) to the other endpoint (x, y).
To find the midpoint, we can use the formula:
Midpoint = [(x1 + x2) / 2, (y1 + y2) / 2]
In this case, the coordinates of the midpoint are equal to [(8 + x) / 2, (-1 + y) / 2]. Since the point (5, -2) is one-third of the way from (8, -1) to (x, y), we can write the following equation:
(5, -2) = [(8 + x) / 2, (-1 + y) / 2]
Now, let's solve this equation to find the values of x and y.
(8 + x) / 2 = 5
Cross-multiplying:
8 + x = 10
x = 10 - 8
x = 2
Similarly,
(-1 + y) / 2 = -2
Cross-multiplying:
-1 + y = -4
y = -4 + 1
y = -3
Therefore, the other endpoint of the line segment is (2, -3).