[tex]A(-1,1)[/tex]
[tex]B(1,2)[/tex]
[tex]C(5,6)[/tex]
Fie M- mijlocul lui BC
[tex]x_{M} = \frac{x_{B}+x_{C}}{2} = \frac{1 + 5}{2} = \frac{6}{2} = 3[/tex]
[tex]y_{M} = \frac{y_{B}+y_{C}}{2} = \frac{2 + 6}{2} = \frac{8}{2} = 4[/tex]
[tex] = > M(3,4)[/tex]
[tex]AM \::\: \frac{y - y_{M}}{y_{A}-y_{M}} = \frac{x - x_{M}}{x_{A}-x_{M}} [/tex]
[tex]AM \::\:\frac{y - 4}{1 - 4} = \frac{x - 3}{ - 1 - 3} [/tex]
[tex]AM \::\:\frac{y - 4}{ - 3} = \frac{x - 3}{ - 4} [/tex]
[tex]AM \::\: - 4(y - 4) = - 3(x - 3)[/tex]
[tex]AM \::\: - 4y + 16 = - 3x + 9[/tex]
[tex]AM \::\: 3x - 4y + 16 - 9 = 0[/tex]
[tex]AM \::\: 3x - 4y + 7 = 0[/tex]
