Correct answers only ! what are the equations of the asymptotes of the graph? select each correct answer.

(A) vertical asymptote: x = 2, (B) horizontal asymptote: y = 9

Step-by-step explanation:

The vertical asymptote is the restriction on the x-value.  Since the denominator cannot be equal to zero, then x - 2 ≠ 0 →  x ≠ 2.     So, the vertical asymptote is: x = 2  

The horizontal asymptote is the restriction on the y-value.  Since the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0.  However, there is a vertical shift of 9 units up so the horizontal asymptote is: y = 9

answer: 1) twenty-seven times y

              2) twenty-seven multiplied by y

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is