How to write y=4x-10÷×-2 in the form of y=a÷x-2+q

Question

Hyperbola formular

Answer 1

1. The problem is NOT PARENTHESIZED PROPERLY, assuming that it is y = (4x-10) / (x-2)

2.  There's nothing here about hyperbolas

3.  If the problem is as I have restated it, then using synthetic division yields quotient 4, remainder-2, so

y = 4 - 2/(x-2).