Answer:
(x,-y): (2,-2)
Step-by-step explanation:
M=(x+x)/2,(y+y)/2
Given (1,4)=
[tex] \frac{3x - 4}{2} [/tex]
This implies:
[tex]1 = \frac{3x - 4}{2} [/tex]
[tex]3x - 4 = 2 \\ 3x = 2 + 4 \\ \frac{3x }{3} = \frac{6}{3} \\ x = 2[/tex]
In a similar way,
[tex]4 = \frac{ - 2 + 5y}{2} \\ - 2 + 5y = 8 \\ 5y = 10 \\ y = 2[/tex]
The question demanded (x,-y)
Hence(2,-2) is the answer
