Please help The graph of fx x211x18x2 is a line with a hole

The graph of f(x) = x^2-11x+18/x-2 is a line with a hole in it. What is the equation of the line? What are the coordinates of the hole? Your answer is correct. What is the equation of the line? Use y = mx + b format.

Solution

f(x) = ( x^2 - 11x + 18 ) / ( x- 2)

factoring the numerator part

x^2 -11x + 18 = ( x- 9 ) ( x- 2)

hole occurs at the point present in both numerator and denominator

hence, (x-9) is the equation of the line

coordinates of hole is (2,0)