Answer: ( 11, -2 )
Step-by-step explanation:
The mid point of a line is calculated using the formula:
M = ([tex]\frac{x_{1}+x_{2}}{2}[/tex] , [tex]\frac{y_{1}+y_{2}}{2}[/tex] )
From the question , the mid point is already given , substituting , we have :
(5 , - 7.5 ) = ([tex]\frac{x-1}{2}[/tex] , [tex]\frac{y-13}{2}[/tex] )
Equating the x component to x and the y component to y , we have
5 = [tex]\frac{x-1}{2}[/tex]
x - 1 = 10
x = 11
Also
- 7.5 = [tex]\frac{y-13}{2}[/tex]
-15 = y - 13
-15 + 13 = y
Therefore : y = -2
Therefore : the location of point P is ( 11, -2 )
