Question

Determine a equação da reta que passa pelos pontos A(-2,-1) e (0,3)

Answer 1

$\Large\boxed{\begin{array}{l}\sf\begin{vmatrix}\sf-2&\sf-1&\sf1\\\sf0&\sf3&\sf1\\\sf x&\sf y&\sf1\end{vmatrix}=0\\\sf -2\cdot(3-y)+1\cdot(-x)+1\cdot(-3x)=0\\\sf -6+2y-x-3x=0\\\sf -4x+2y-6=0\div(-2)\\\sf r:2x-y+3=0\end{array}}$