Respuesta :
Using the formula
[tex](x_{m\text{ , }}y_m)\text{ = (}\frac{x_1+x_2}{2}\text{ , }\frac{y_1+y_2}{2})[/tex]x₁= 10 y₁=12 Xm=2 Ym = 8
x₂ = ? y₂=?
Substituting and solving for x₂
[tex]x_m=\frac{x_1+x_2}{2}[/tex][tex]2\text{ = }\frac{10+x_2}{2}[/tex]Multiply both-side of the equation by 2
4 = 10 + x₂
subtract 10 from both-side of the equation
-6 = x₂
x₂= -6
Similarly, substituting and solving for y₂
[tex]y_m=\frac{y_1+y_2}{2}[/tex][tex]8=\frac{12+y_2}{2}[/tex]Multiply both-side of the equation by 2
16 = 12 + y₂
Subtract 12 from both-side of the equation
4 = y₂
y₂= 2
Hence; coordinates of B are;
B(x,y) = ( -6, 2)
