Question

Jika garis G tegak lurus garis H yang memiliki persamaan garis 4x Min 3y = 12 maka gradien garis G adalah

Answer 1

Verified answer

Gradien garis h
4x - 3y = 12
-3y = -4x + 12 ( : -3)
y = 4/3x - 4
gradien garis h = koefisien x = 4/3

Karena tegak lurus , berlaku :
mH . mG = -1
4/3 . mG= -1
mG = -1 : 4/3
mG = -1 (3/4)
mG = -3/4
gradien garis g = -3/4

Answer 2

4x - 3y = 12
-3y = -4x + 12
y = 4/3x - 4
m = 4/3

karena garis G dan H tegak lurus , maka:
m1 . m2 = -1
4/3 . m2= -1
m2 = -1 : 4/3
m2 = -3/4
m2 = mG = -3/4