gustanika
Garis o melalui titik (x₁,y₁) = (0,4) (x₂,y₂) = (-3,0)
Mencari gradien garis o (m₁) m₁ = (y₂ - y₁)/(x₂ - x₁) m₁ = (0 - 4)/(-3-0) m₁ = 4/(-3) m₁ = -4/3
Mencari gradien garis b (m₂) Garis b tegak lurus garis o, maka m₁ × m₂ = -1 -4/3 × m₂ = -1 m₂ = -1 : -4/3 m₂ = -1 × -3/4 m₂ = 3/4
Mencari persamaan garis b Garis b melalui titik (0,4) dengan m = 3/4 y - y₁ = m(x - x₁) y - 4 = 3/4 (x - 0) 4(y - 4) = 3(x - 0) 4y - 16 = 3x 3x = 4y - 16 3x - 4y + 16 = 0 JAWABAN A
(x₁,y₁) = (0,4)
(x₂,y₂) = (-3,0)
Mencari gradien garis o (m₁)
m₁ = (y₂ - y₁)/(x₂ - x₁)
m₁ = (0 - 4)/(-3-0)
m₁ = 4/(-3)
m₁ = -4/3
Mencari gradien garis b (m₂)
Garis b tegak lurus garis o, maka
m₁ × m₂ = -1
-4/3 × m₂ = -1
m₂ = -1 : -4/3
m₂ = -1 × -3/4
m₂ = 3/4
Mencari persamaan garis b
Garis b melalui titik (0,4) dengan m = 3/4
y - y₁ = m(x - x₁)
y - 4 = 3/4 (x - 0)
4(y - 4) = 3(x - 0)
4y - 16 = 3x
3x = 4y - 16
3x - 4y + 16 = 0
JAWABAN A