Question

One endpoint of a line segment has coordinates represented by (x + 4, 1/2y). The midpoint of the line segment is (3, -2). How are the coordinates of the other endpoint expressed in terms of x and y?

a. (2 - x, -4 - 1/2y)
b. (2x - 2, 1/2y -2)
c. (x+2, 2- 1/2y)
d. (10 - x, -1/2y)

Answer 1

Explanation:

a. (2 - x, -4 - 1/2y)

Answer 2

a. (2 - x, -4 - 1/2y)

Explanation:

`\text{Let the coordinates of other endpoint be (a,b)}\\</p><p>\implies (a+x+4)/(2)=3 \:\text{and}\\</p><p>(b+(y)/(2))/(2)=-2\\`

Simplify to get the answer.