[tex] \frac{x-x1}{x2-x1} = \frac{y-y1}{y2-y1}
[/tex]
[tex] \frac{x-5}{-3-5}= \frac{y-2}{7-2}
[/tex]
[tex] \frac{x-5}{-8}= \frac{y-2}{5}
5(x-5)=-8(y-2)
5x-25=-8y+16
5x-25+8y-16=0
5x+8y-41=0[/tex]
Metoda 2 cu determinant
[tex] \left[\begin{array}{ccc}1&1&1\\1&x1&x2\\y&y1&y2\end{array}\right] [/tex]
[tex] \left[\begin{array}{ccc}1&1&1\\x&5&-3\\y&2&7\end{array}\right]=
35-3y+2x-(5y-6+7x)=0
35-3y+2x-5y+6-7x=0
-5x-8y+41=0 /(-1)
5x+8y-41=0
[/tex]
