[tex]A(4,-7) \\
B(2,1) \\
C(-3,-5)
[/tex]
[tex]m_{BC}=\frac{y_{C}-y_{B}}{x_{C}-x_{B}} = \frac{ - 5 - 1}{ - 3 - 2} = \frac{ - 6}{ - 5} = \frac{6}{5} [/tex]
[tex]m_{BC} = m_{d} = \frac{6}{5} [/tex]
Ecuația dreptei d :
[tex]y-y_{A}=m_{d}(x-x_{A})[/tex]
[tex]y - ( - 7) = \frac{6}{5} (x - 4)[/tex]
[tex]y + 7 = \frac{6}{5} x - \frac{24}{5} [/tex]
[tex] - \frac{6}{5} x + y + 7 - \frac{24}{5} = 0[/tex]
[tex] - \frac{6}{5} x + y + \frac{11}{5} = 0[/tex]
