→ kurva dan garis singgung ←
y = y
x² - 2x - 3 = 2x - 3
x² - 4x = 0
x(x - 4) = 0
x = 0 → y = 2.0 - 3 = -3
x = 4 → y = 2.4 - 3 = 5
m = y' = 2x - 2
titik singgung (0,-3) → m = 2.0 - 2 = -2
Pers garis singgung _1 :
y = -2(x - 0) + (-3)
y = -2x - 3
m = 2x - 2
titik (4,5) → m = 2.4 - 2 = 6
Pergasing _2 :
y = 6(x - 4) + 5
y = 6x - 19
Titik potong pergasing → C(a,b)
-2x - 3 = 6x - 19
6x + 2x = 19 - 3
8x = 16
x = 2 → y = 6.2 - 19 = -7
C(a,b) = (2,-7)
Maka :
b/a = -7/2 = -3,5 ✔
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Verified answer
→ kurva dan garis singgung ←
y = y
x² - 2x - 3 = 2x - 3
x² - 4x = 0
x(x - 4) = 0
x = 0 → y = 2.0 - 3 = -3
x = 4 → y = 2.4 - 3 = 5
m = y' = 2x - 2
titik singgung (0,-3) → m = 2.0 - 2 = -2
Pers garis singgung _1 :
y = -2(x - 0) + (-3)
y = -2x - 3
m = 2x - 2
titik (4,5) → m = 2.4 - 2 = 6
Pergasing _2 :
y = 6(x - 4) + 5
y = 6x - 19
Titik potong pergasing → C(a,b)
y = y
-2x - 3 = 6x - 19
6x + 2x = 19 - 3
8x = 16
x = 2 → y = 6.2 - 19 = -7
C(a,b) = (2,-7)
Maka :
b/a = -7/2 = -3,5 ✔