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P₁ = (- 2, - 3)
P₂ = (1, - 5)
Aplicamos la fórmula de la ecuación conocidos dos puntos.
y₂ - y₁
y - y₁ = ------------ (x - x₁)
x₂ - x₁
- 5 - (- 3)
y - ( - 3) = --------------- (x - (- 2))
1 - (- 2)
- 5 + 3
y + 3 = ------------ (x + 2)
1 + 3
- 2
y + 3 = ------------ (x + 2)
4
- 1
y + 3 = --------- (x + 2)
2
2y + 6 = - x - 2
x + 2y + 6 + 2 = 0
x + 2y + 8 = 0
La ecuación es :
x + 2y + 8 = 0