ekamiaww
Ax+by+c = 0 --> m = -a/b y = mx+c --> gradiennya m a) saling sejajar berarti gradiennya sama 4y+6x = 12 --> m = -6/4 = -3/2 y = ax+7 --> m = a jd a = -3/2 b) 7y-5x+14 = 0 --> m = -(-5)/7 = 5/7 y = ax+b --> m = a jd a = 5/7, b bisa diisi oleh bilangan berapapun. c) dua garis saling berimpit, persamaannya sama 2x-5y+20 = 0 -5y = -2x-20 y = 2/5x+4 y = px+2b jd p = 2/5 dan 2b=4, b = 2 d) dua garis saling berpotongan m₁.m₂ = -1 6x+9y = 18 --> m = -6/9 = -2/3 y = 3qx+6 --> m = 3q 3q.-2/3 = -1 -2q = -1 q = 1/2
ImmanuelSinaga
A, sejajar maka kemiringan sama = -3/2 y = ax + 7 ⇒⇒ a(gradien) = -3/2 b. kemiringan sama = 5/7 y = ax + b ⇒ ax - y + b = 0 -a/-1 = 5/7 a = 5/7 b = terserah anda c. berimpit berarti sama total 2x - 5y + 20 = px - y + 2b karena y = -1 maka di bagi 5 2/5x - y + 4 = px - y + 2b p = 2/5 2b = 4 b=2 d.6x + 9y - 18 ⇒⇒⇒⇒ kemiringan(gradien) = -a/b = -6/9 = - 2/3 tegak lurus maka m1 x m2 = -1 m2 = -1/-2/3 m2 = 3/2 y = 3qx + 6 ⇒⇒ 3q(gradien ) = 3/2 q = 1/2
y = mx+c --> gradiennya m
a) saling sejajar berarti gradiennya sama
4y+6x = 12 --> m = -6/4 = -3/2
y = ax+7 --> m = a
jd a = -3/2
b) 7y-5x+14 = 0 --> m = -(-5)/7 = 5/7
y = ax+b --> m = a
jd a = 5/7, b bisa diisi oleh bilangan berapapun.
c) dua garis saling berimpit, persamaannya sama
2x-5y+20 = 0
-5y = -2x-20
y = 2/5x+4
y = px+2b
jd p = 2/5 dan 2b=4, b = 2
d) dua garis saling berpotongan m₁.m₂ = -1
6x+9y = 18 --> m = -6/9 = -2/3
y = 3qx+6 --> m = 3q
3q.-2/3 = -1
-2q = -1
q = 1/2
y = ax + 7 ⇒⇒ a(gradien) = -3/2
b. kemiringan sama = 5/7
y = ax + b ⇒ ax - y + b = 0
-a/-1 = 5/7
a = 5/7 b = terserah anda
c. berimpit berarti sama total
2x - 5y + 20 = px - y + 2b
karena y = -1
maka di bagi 5
2/5x - y + 4 = px - y + 2b
p = 2/5
2b = 4
b=2
d.6x + 9y - 18 ⇒⇒⇒⇒ kemiringan(gradien) = -a/b = -6/9 = - 2/3
tegak lurus maka m1 x m2 = -1
m2 = -1/-2/3
m2 = 3/2
y = 3qx + 6 ⇒⇒ 3q(gradien ) = 3/2
q = 1/2