Using the expansion for the binomial: ( x^3 − y^4 )^9 : the coefficient for the 6th term is

-126

Step-by-step explanation:

For the binomial expression   the coefficient of term is given by .

We have to find the coefficient of 6th term in the binomial expansion of

.

Hence n=9 and r=5

The coefficient of 6th term =

                                             =

                                             = -126

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c