Question

A equação reduzida da reta que passa pelos pontos A(2,3) B(0,1).

Answer 1

Escrevendo a equação matricial da reta:

$\left|\begin{array}{ccc}x&y&1\\2&3&1\\0&1&1\end{array}\right|=0 \\ \\ 3x+2-2y-x=0\\ \\ 2x-2y+2=0\\ \\ x-y+1=0\\ \\ \boxed{\boxed{y=x+1}}$

Answer 2

$\boxed{y-y_o = m(x-x_o)}$

$m = \frac{\Delta\ y}{\Delta\ x}\\\\\ m = \frac{1-3}{0-2}= \frac{-2}{-2}\\\\\ \boxed{m=1}$

$y-1 = 1(x-0)\\\\\ y-1 = x\\\\\ \boxed{y=x+1}$