Question

os pontos (-2,0) e (0,-3) estao ambos na reta de equacao

Answer 1

$\left|\begin{array}{ccc}x&y&1\\-2&0&1\\0&-3&1\end{array}\right| \left\begin{array}{ccc}x&y\\-2&0\\0&-3\end{array}\right=0\\\\\\ 0x+0y+6+0+3x+2y=0\\\\ eq~geral~~\Rightarrow ~~\boxed{3x+2y+6=0 }\\\\\\ 3x+2y+6=0\\ 2y=-3x-6\\\\ y= \dfrac{-3x-6}{2}\\\\ y= -\dfrac{3}{2}x- \dfrac{6}{2}\\\\ eq~reduzida~~\Rightarrow~~\boxed{y=- \dfrac{3}{2}x-3}$