Determin an equation from a rational fucntion graph

Please Help!!

Basically the graph is showing:

vertical asymptote (V)on x=3

and horizontal asymptote(H) on x=2

and a point in the graph (1.5,0)

So this is how I got an answer

y=ax+b

------

cx+d

since H=a/c a=2c

V=-d/c d=-3c

to find b, i did some substitution

y=2cx+b

-------

cx-3c

substitute a point from the graph

0=2c(1.5)+b

-----------

c(1.5)-3c

0=3c+b

-----------

-1.5c

therefore

b=-4.5 c

I sub in b into the general equation

y=2cx-4.5c

----------

cx-3c

y= c(2x-4.5)

---------- c cancel out

c(x-3)

final answer is

y=2x-4.5

------

x-3

but my book's answer is

y=2x-3

---------

x-3

if it helps im using nelson advanced functions book 2008

pg 154 question 7

please help!! and if anyone can point me to a website that has better explaining in terms of rational functions in the form

y=ax+b

------

cx+d