Question

A equação da reta que passa pelos pontos (-2,3) e (1,6) é:
a)3x+1x-15=0
b)x+3y+15=0
c)2x-2x-12=0
d)-3x+3x-15=0
e)-3x-3y+15=0
pfv com calculos

Answer 1

Resposta:

-3x+3y-15=0

Explicação passo-a-passo:

$\displaystyle \left[\begin{array}{ccc}x&y&1\\-2&3&1\\1&6&1\end{array}\right] =0\\\\\\\left[3.1-6.1\right]x-\left[(-2).1-1.1\right]y+(-2).6-1.3=0\\\left[3-6\right]x-\left[(-2)-1\right]y+(-12)-3=0\\-3x + 3y - 15=0$

Answer 2

$\left[\begin{array}{ccc}x&y&1\\-2&3&1\\1&6&1\end{array}\right] = x\left[\begin{array}{cc}3&1\\6&1\end{array}\right] - y\left[\begin{array}{cc}-2&1\\1&1\end{array}\right] + 1\left[\begin{array}{cc}-2&3\\1&6\end{array}\right]\\x(3 - 6) - y(-2 - 1) + 1(-12 - 3) = x(-3) - y(-3) + 1(-15)\\-3x + 3y - 15 = 0$