Answer:
65
Step-by-step explanation:
3x - y + 1 =0
d/dx (3x) - dy/dx + d/dx (1) = 0
dy/dx = 3
y = x2 + 4x - 16
dy/dx = 2x + 4
Hence
2x + 4 = 3
x= 3-4/2 = -1/2
at x = -1/2y = (-1/2)2 + 4 (-1/2) - 16 = 1/4 -2 -16
y = -71/4
so the point p (-1/2, -71/4)
equation of tangent
y - (-71/4) = 3 (x-(-1/2))
y + 71/4 = 3 ( x + 1/2)
3x - y = 71/4 - 3/2 = 71-6/4 = 65/4
12x - 4y = 65.