Coba buktikan apakah persamaan garis lurus berikut saling tegak lurus
Matematika
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Pertanyaan
Coba buktikan apakah persamaan garis lurus berikut saling tegak lurus
1 Jawaban
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1. Jawaban Anonyme
Bab Persamaan Garis
Matematika SMP Kelas VIII
1] 3y = 3x - 1
y = (3x - 1)/3
y = x - (1/3)
m1 = 1
y = -x + 2
m2 = -1
m1 . m2 = -1
1 . -1 = -1 (tegak lurus)
2] 2x + y = 5
m1 = -a/b
= -2/1
= -2
2x - 4y = 5
m2 = -a/b
= -2/-4
= 1/2
m1 . m2 = -1
-2 . 1/2 = - 1 (tegak lurus)
3] (2x + 5)/3 = 2y
y = (2x + 5)/6
y = (1/3) x + (5/6)
m1 = 1/3
2x + y + 2 = 0
m2 = -a/b
= -2/1
= -2
m1 . m2 = -1
1/3 . -2 ≠ -1 (tidak tegak lurus)
4] (3x + 2)/3 = 2y
2y = x + (2/3)
y = (1/2) x + (1/3)
m1 = 1/2
(5x - 32)/2 = -y
-y = (5/2) - 16
y = (-5/2) + 16
m2 = -5/2
m1 . m2 = -1
1/2 . (-5/2) ≠ -1 (tidak tegak lurus)