Question

Determine a equação geral da reta sabendo que os pontos A(2,1) e B(- 2,4) pertencem a reta.

Answer 1

$\left[\begin{array}{ccc}x1&y1&1\\x2&y2&1\\x&y&1\end{array}\right] \\ \left[\begin{array}{ccc}2&1&1\\-2&4&1\\x&y&1\end{array}\right]=-4x-4y+10 \\ -4x-4y+10 =0 \\ -2x-2y+5=0 \\ y= \frac{5-2x}{2}$

Answer 2

x....y....1
2....1....1
-2...4....1

x-2y+8+2-2y-4x = 0
-2y-2y = 4x-x-8-2
-4y = 3x-10
4y = -3x+10
y = (-3x+10)/4 ou
y = -3x/4 + 10/4
y = -3x/4 + 5/2