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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?

1 Answer

5 votes

Answer: ( 11, -2 )

Explanation:

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

M = (
(x_(1)+x_(2))/(2) ,
(y_(1)+y_(2))/(2) )

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

(5 , - 7.5 ) = (
(x-1)/(2) ,
(y-13)/(2) )

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

5 =
(x-1)/(2)

x - 1 = 10

x = 11

Also

- 7.5 =
(y-13)/(2)

-15 = y - 13

-15 + 13 = y

Therefore : y = -2

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

User Vignesh Pichamani
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