Answer:
A
Step-by-step explanation:
a hyperbola is used in the form
(x-h)^2/a^2 - (y-k)^2/b^2
in this case h=1 k=2 a=6 b=8
since the x part comes first, use y = +-(b/a)(x-h) + k to find the asymptotes
we get y = +-(4/3)(x-1) + 2
multiply out the 4/3 to get
for +: (4x-4)/3 + 2
for -: (-4x+4)/3 + 2
change 2 to 6/3 and combine:
for +: 4x+2/3
for -: (-4x+10)/3