Y^2 = 8x y = (8x)^1/2 y' = 1/2 (8x)^-1/2 . 8 y' = 4/(8x)^1/2 y' = 4/√(8x) m = y' di titik (2, 4) A) gradien garis g => m = 4/√(8.2) = 4/√16 = 4/4 = 1 Persamaan garis g (melalui (2, 4)) y - y1 = m(x - x1) y - 4 = 1(x - 2) y = x + 2
B) gradien garis h : m1 . m2 = -1 => 1 . m2 = -1 => m2 = -1 Persamaan garis h (melalui (0,0)) y - y1 = m(x - x1) y - 0 = -1(x - 0) y = -x
Verified answer
Y^2 = 8xy = (8x)^1/2
y' = 1/2 (8x)^-1/2 . 8
y' = 4/(8x)^1/2
y' = 4/√(8x)
m = y' di titik (2, 4)
A) gradien garis g => m = 4/√(8.2) = 4/√16 = 4/4 = 1
Persamaan garis g (melalui (2, 4))
y - y1 = m(x - x1)
y - 4 = 1(x - 2)
y = x + 2
B) gradien garis h : m1 . m2 = -1 => 1 . m2 = -1 => m2 = -1
Persamaan garis h (melalui (0,0))
y - y1 = m(x - x1)
y - 0 = -1(x - 0)
y = -x