Answer: ( 1 , 7 )
Step-by-step explanation:
The formula for calculating mid - points is given as :
[tex](x , y )[/tex] = [tex]\frac{x_{1}+x_{2}}{2} ,[/tex] [tex]\frac{y_{1}+y_{2}}{2}[/tex]
[tex]x_{1} = 7[/tex]
[tex]x_{2} = ?[/tex]
[tex]y_{1} = 3[/tex]
[tex]y_{2}=?[/tex]
[tex]x = 4[/tex]
[tex]y = 5[/tex]
substituting into the formula , we have:
[tex]4, 5 =[/tex] [tex]\frac{7+x_{2}}{2}[/tex] , [tex]\frac{3+y_{2}}{2}[/tex]
Equating x - component to x and y - component to y , we have
[tex]4 = \frac{7+x_{2}}{2}[/tex]
[tex]8 = 7 + x_{2}[/tex]
Therefore :
[tex]x_{2}= 1[/tex]
Also :
[tex]5 = \frac{3+y_{2}}{2}[/tex]
[tex]10 = 3 + y_{2}[/tex]
Therefore:
[tex]y_{2}= 7[/tex]
Therefore , the other point is ( 1 , 7 )
