Question

Point R is the midpoint of line QS. R is located at (5, -7.5) S is located at (-1,-13) What is the location of Point Q?

Answer 1

Answer: ( 11, -2 )

Step-by-step explanation:

The mid point of a line is calculated using the formula:

M = ($\frac{x_{1}+x_{2}}{2}$ , $\frac{y_{1}+y_{2}}{2}$ )

From the question , the mid point is already given , substituting , we have :

(5 , - 7.5 ) = ($\frac{x-1}{2}$ , $\frac{y-13}{2}$ )

Equating the x component to x and the y component to y , we have

5 = $\frac{x-1}{2}$

x - 1 = 10

x = 11

Also

- 7.5 = $\frac{y-13}{2}$

-15 = y - 13

-15 + 13 = y

Therefore : y = -2

Therefore : the location of point P is ( 11, -2 )