escreva a equação geral da reta que passa pelos pontos indicados.?
A) A(-8,3) e B(0,4)
B) C(5,2) e D(-1,-6)
C) M(1,4) e N(-4,3)
D) P(0,-7) e Q(2,-5)
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A) A(-8,3) e B(0,4)
B) C(5,2) e D(-1,-6)
C) M(1,4) e N(-4,3)
D) P(0,-7) e Q(2,-5)
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a)
│ x y 1 │ x y
│-8 3 1 │-8 3 = 0
│ 0 4 1 │ 0 4
3x + 0 - 32 - (0 + 4x - 8y) = 0
3x - 4x + 8y - 32 = 0
-x + 8y - 32 = 0
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b)
│ x y 1 │x y
│ 5 2 1 │5 2 = 0
│-1-6 1 │-1-6
2x - y -30 - (-2 -6x + 5y) = 0
2x + 6x - y - 5y - 30 + 2 = 0
8x - 6y - 28 = 0 ou
4x - 3y - 14 = 0
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c)
│ x y 1 │ x y
│ 1 4 1 │ 1 4 = 0
│-4 3 1 │-4 3
4x - 4y + 3 - (-16 + 3x + y) = 0
4x - 3x - 4y - y + 3 + 16 = 0
x - 5y + 19 = 0
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d)
│ x y 1 │ x y
│ 0-7 1 │ 0-7 = 0
│ 2-5 1 │ 2-5
-7x + 2y + 0 - (-14 - 5x + 0) = 0
-7x + 5x + 2y + 14 = 0
-2x + 2y + 14 = 0 ou
x - y - 7 = 0
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