Di antara garis berikut yg tegak lurus dengan garis ⅔x-4y=5 adl A.x-6y=5 B.x+6y=g C.6x-y=1 D.6x+y=3 Dengan caranya:)

[tex] \frac{2}{3} x - 4y = 5 \\ 4y = \frac{2}{3} x - 5 \\ y = ( \frac{2}{3}x - 5) \div 4 \\ y = \frac{1}{6} x - \frac{5}{4} [/tex]
gradien = m

rumus dasar > y = mx + c
[tex]gradien = m = \frac{1}{6} [/tex]

rumus gradien dengan garis tegak lurus >>
[tex] - 1 = m1 \times m2 \\ - 1 = \frac{1}{6} \times m2 \\ m2 = - 1 \div \frac{1}{6} \\ m2 = - 1 \times \frac{6}{1} \\ m2 = - 6[/tex]
cari persamaan garis yang punya gradien
-6 (y = -6x + c)

A.
[tex]x - 6y = 5 \\ 6y = x - 5 \\ y = \frac{1}{6} x - \frac{5}{6} [/tex]
gradien = 1/6

B.
[tex]x +6y = g \\ 6y = - x + g \\ y = - \frac{1}{6} x + \frac{g}{6} [/tex]
gradien = -1/6

C.
[tex]6x - y = 1 \\ y = 6x - 1[/tex]
gradien = 6

D.
[tex]6x + y = 3 \\ y = - 6x + 3[/tex]
gradien = -6

jawaban = D