Question

A EQUAÇÃO GERAL DA RETA QUE PASSA PELOS PONTOS A(-3,5) e B(2,8) É:


-3x +5y - 34 =0

3x + 5y - 14 = 0

-3x + y - 1 = 0

13x - 5y +14 = 0

Answer 1

$\begin{vmatrix}\sf-3&\sf5&\sf1\\\sf3&\sf8&\sf1\\\sf x&\sf y&\sf1\end{vmatrix}=0\\\sf-3\cdot(8-y)-5\cdot(2-x)+1\cdot(2y-8x)=0\\\sf-24+3y-10+5x+2y-8x=0\\\sf-3x+5y-34=0$