Question

A equação geral da reta que passa pelos pontos P_1 (-2,3) e P_2 (2,-4) é:
a. 7x+4y+2=0
b. -7x-4y+14=0
c. 7x+3y+5=0
d. 7x-4y+14=0
e. 7x+3y=0

Answer 1

|-2 3 1 |-2 3
|2 -4 1| 2 4
|x y 1| x y
Dp(diagonal principal)
Ds( diagonal secundaria)
Dp -Ds= 0
Dp= 8+3x +2y
Ds= 6+(-2y)+(-4x)
8+3x+2y-(6-2y-4x)=0
8+3x+2y-6+2y+4x=0
2+4y+7x =0
7x+4y+2=0
Logo alternativa a