Solve the system of equations. y = x2 - 3x + 6
y = 2x + 6
A. (0,6) and (5, 16)
B. (-5, - 4) and (0,6)
C. (-5, - 4) and (0-6)
D. (0,-6) and (5, -16)

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3

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