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

Answer:

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

Step-by-step explanation:

$\text{Let the coordinates of other endpoint be (a,b)}\\\implies \frac{a+x+4}{2}=3 \:\text{and}\\\frac{b+\frac{y}{2}}{2}=-2$

Simplify to get the answer.

Answer 2

Answer:

Step-by-step explanation:

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