Question

The coordinates of point T are (0,5). The midpoint of ST is (4, -5). Find the coordinate of point S

Answer 1

(8, -15)

Explanation:

Midpoint formula:
`((x_1+x_2)/(2) ,(y_1+y_2)/(2))`

where
`(x_1,y_1)` is the first point (T) and
`(x_2,y_2)` is the second point (S)

Step 1. plug in what we have so far into the midpoint formula

`((0+x_2)/(2) ,(5+y_2)/(2) )`

but remember, the midpoint is (4, -5)

Step 2. solve for point (S)

The first coordinate of point (S) is the x-coordinate. And to solve for the x-coordinate, (since they're being divided by 2) multiply 2 by 4 (the x-coordinate of the midpoint)

`((0+8)/(2),(5+y_2)/(2))`

... (hard to explain for the y-coordinate of point (S))

Point S =
`(8,-15)`