subebe
2. kemiringannya = (4 -(-13) / ( 15 -(-6) = (4+13) / (15+6) = 17 / 21 3a. kemiringan = (3-(-5)) / ( 4 -(-2) = 8 / 6 = 4/3 b. kemiringan = (-3-(-1) / (7 -(-1) = -2 / 8 = -1/4 4a. y +4 = 3(x-0) y + 4 = 3x y = 3x - 4 b. y - 2 = 1 1/2(x-1) y - 2 = 3/2 (x - 1) y -2 = 3/2 x - 3/2 y = 3/2 x + 1/2 2y = 3x + 1 c. y - 1 = 4(x+2) y - 1 = 4x + 8 y = 4x + 9 d. (y -(-1) / (4 -(-1) = (x - 2)/(1-2) (y + 1) /5 = (x -2) / -1 - y - 1 = 5x -10 5x + y - 9 = 0 e. (y-0)/(-8-0) = (x +1)/ (3+1) y / -8 = (x+1) / 4 4y = -8x -8 y = -2x - 2 y + 2x + 2 = 0
5a. gradien PQ = (2-0)/(0-5) = 2/-5 = -2/5 garis l adalah y - 4 = -2/5(x-3) y - 4 = -2/5 x + 6/5 y = -2/5 x + 26/5 5y = -2x + 26 b(i). y - 4 = 2(x -3) y -4 = 2x -6 y = 2x - 2 (ii) koordinat S dengan memotong sumbu y (x=0) y = 2(0) - 2 y = -2 titik S (0, -2)
8. a garis l (y - 3) / (5-3) = (x +1)/(0+1) (y-3) / 2 = (x+1) / 1 y - 3 -= 2x +2 y = 2x +5 b. garis k (y - 3) / (2-3) = (x +1) / (0 + 1) (y-3) / -1 = (x+1) / 1 y - 3 = -x -1 y = -x +2
= (4+13) / (15+6)
= 17 / 21
3a. kemiringan = (3-(-5)) / ( 4 -(-2)
= 8 / 6
= 4/3
b. kemiringan = (-3-(-1) / (7 -(-1)
= -2 / 8
= -1/4
4a. y +4 = 3(x-0)
y + 4 = 3x
y = 3x - 4
b. y - 2 = 1 1/2(x-1)
y - 2 = 3/2 (x - 1)
y -2 = 3/2 x - 3/2
y = 3/2 x + 1/2
2y = 3x + 1
c. y - 1 = 4(x+2)
y - 1 = 4x + 8
y = 4x + 9
d. (y -(-1) / (4 -(-1) = (x - 2)/(1-2)
(y + 1) /5 = (x -2) / -1
- y - 1 = 5x -10
5x + y - 9 = 0
e. (y-0)/(-8-0) = (x +1)/ (3+1)
y / -8 = (x+1) / 4
4y = -8x -8
y = -2x - 2
y + 2x + 2 = 0
5a. gradien PQ = (2-0)/(0-5)
= 2/-5
= -2/5
garis l adalah
y - 4 = -2/5(x-3)
y - 4 = -2/5 x + 6/5
y = -2/5 x + 26/5
5y = -2x + 26
b(i). y - 4 = 2(x -3)
y -4 = 2x -6
y = 2x - 2
(ii) koordinat S dengan memotong sumbu y (x=0)
y = 2(0) - 2
y = -2
titik S (0, -2)
8. a garis l
(y - 3) / (5-3) = (x +1)/(0+1)
(y-3) / 2 = (x+1) / 1
y - 3 -= 2x +2
y = 2x +5
b. garis k
(y - 3) / (2-3) = (x +1) / (0 + 1)
(y-3) / -1 = (x+1) / 1
y - 3 = -x -1
y = -x +2