Question

Obtenha a equação da reta pelos pontos:
A- A (0,2) e B (1,3)
B- A (3,2) e B (0,1)
C- A (1,1) e B (2,-2)

Answer 1

tendo algum conhecimento básico em matriz,

A) $\left[\begin{array}{ccc}x&y&1\\0&2&1\\1&3&1\end{array}\right]$

(2x+y)-(2+3x)
2x+y-2-3x=0
y-x-2=0

y=x+2

B) $\left[\begin{array}{ccc}x&y&1\\3&2&1\\0&1&1\end{array}\right]$

(2x+3)-(x+3y)
2x+3-x-3y=0
-3y+x+3=0
-3y=-x-3
y= $\frac{-x}{-3} \frac{-3}{-3}$

y= $\frac{x}{3} + 1$


C)$\left[\begin{array}{ccc}x&y&1\\1&1&1\\2&-2&1\end{array}\right]$ 

(x+2y-2)-(2-2x+y)
x+2y-2-2+2x-y=0
y+3x-4=0

y= -3x+4