Question

Determine a equação geral da reta que passa pelos pontos A e B nos pontos A ( -2,-2) e B ( 3,3) ​

Answer 1

$\left[\begin{array}{ccc}x&y&1\\-2&-2&1\\3&3&1\end{array}\right] = 0\\x\left[\begin{array}{cc}-2&1\\3&1\end{array}\right] - y\left[\begin{array}{cc}-2&1\\3&1\end{array}\right] + 1\left[\begin{array}{cc}-2&-2\\3&3\end{array}\right]\\x[-2 - (3)] - y[-2 - (3)] + 1[-6 - (-6)]\\x[-2 - 3] - y[-2 - 3] + 1[-6 +6]\\x[-5] - y[-5] + 1[0]\\-5x + 5y = 0\\y - x = 0$