Question

M(7,1) is the midpoint of segment WX, and X has the coordinates (-1,5). What are the coordinates of W?

A) W(15, -3)
B) W(8, -4)
C) W(6, -3)
D) W(5, -2)

Answer 1

To find the coordinates of point W, we can use the midpoint formula. The given midpoint is (7,1) and one of the points is (-1,5). By solving the equation and finding x and y, we get W(15, -3), which is option A.

Step-by-step explanation:

To find the coordinates of point W, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint between two points (x1, y1) and (x2, y2) is [(x1 + x2)/2, (y1 + y2)/2].

In this case, the given midpoint is (7,1) and one of the points is (-1,5). Let's represent the coordinates of point W as (x,y). We can set up the following equation:

((-1 + x)/2, (5 + y)/2) = (7,1)

Solving for x and y, we get:

-1 + x = 14 --> x = 15

5 + y = 2 --> y = -3

So the coordinates of point W are W(15, -3), which is option A.