**pls ! ill give brainliest to the most correct answer**

a conjecture and the two-column proof used to prove the conjecture are shown.

what is the answer?

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

the graph g(x) is f(x) translated 7 units in the negative y direction and translated 2 units in the negative x direction