One end point of a line is (-3,-1) the midpoint of the line is (1,1) what is the location of the other point?

Question

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One end point of a line segment has coordinates (-3,-1). The midpoint of the line segment is at (1,1). What is the location of the other end point?

Update:

Please show your work. Need analogy to learn it!

Answer 1

Favorite Answer

I agree with MoonRose. From the first point to midpoint, x has advanced 4 (-3 to 0 and then 0 to 1 for a total of 4). So from the midpoint another 4 gives x value of 5.

Likewise, y advances from -1 to 1 (an increase of 2). Add 2 more and y becomes 3. So, coordinates for this endpoint are (5,3) <==answer

Answer 2

Midpoint: x-coordinate = (x1 + x2)/2, y-coordinate = (y1 + y2)/2, where (x1, y1) and (x2, y2) are the endpoints of the segment

x-coordinate = (x1 + x2)/2

1 = (-3 + x2)/2

2 = -3 + x2

5 = x2

y-coordinate = (y1 + y2)/2

1 = (-1 + y2)/2

2 = -1 + y2

3 = y2

ANSWER: point (5, 3)

Answer 3

3,5 (up 2 over 4)

If im wrong......my bad!!!

Answer 4

(5,3)