Question

reta r intecepta os pontos P(-1,4) e Q(2,-2).

Answer 1

$\huge\begin{vmatrix}-1&4&1\\2&-2&1\\x&y&1\end{vmatrix}=0$

$\mathsf{-1(-2-y)-4(2-x)+1(2y+2x)=0}\\\mathsf{2+y-8+4x+2y+2x=0}\\\mathsf{6x+3y-6=0\div3}$

$\boxed{\boxed{\boxed{\boxed{\mathsf{r:2x+y-2=0}}}}}$