Answer:
-56/9
Step-by-step explanation:
Let p and q be the roots of the equation.
So, here's how we're gonna work it out:

Vieta's formulas give us the sum and the product of the roots of a quadratic equation. Using them we obtain:
- p + q = -b / a = - 4 / 3
- p × q = c / a = 12 / 3 = 4

Perpendicular means the two lines' slopes are negative reciprocal to each other. the slope of the given line is 1/3, therefore the slope of the perpendicular line is -3/1, which is -3
use the point-slope form: the given point is (4,1), so (y-1)=-3(x-4)
you can stop right here or you can write it into slope intercept form:
y-1=-3x+12
y=-3x+13
⇒ common ratio =r=3 and the given sequence is geometric sequence. Where an is the nth term, a is the first term and n is the number of terms. ⇒ 12th term is 708588 .
(May be wrong for some other users, although it's correct for me.)