Answer: ( 6 , 9)
Step-by-step explanation:
The coordinate of the mid -point is calculated by the formula:
Mid-point = ( [tex]\frac{x_{1}+x_{2}}{2}[/tex] , [tex]\frac{y_{1}+y_{2}}{2}[/tex] )
[tex]x_{1}[/tex] = 5
[tex]x_{2}[/tex] = 7
[tex]y_{1}[/tex] = 13
[tex]y_{2}[/tex] = 5
Substituting these values into the formula , we have :
Mid - point = ( [tex]\frac{7+5}{2}[/tex] , [tex]\frac{5+13}{2}[/tex]
Mid -point = ( [tex]\frac{12}{2}[/tex] , [tex]\frac{18}{2}[/tex]
Mid - point = ( 6 , 9 )
