Question

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

Answer 1

Answer:

(8, -15)

Step-by-step explanation:

Midpoint formula: $(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2})$

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

$(\frac{0+x_2}{2} ,\frac{5+y_2}{2} )$

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)

$(\frac{0+8}{2},\frac{5+y_2}{2})$

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

Point S = $(8,-15)$