If given an equation of a line such as -1/2x+6 how would you create an equation of a line parallel and perpendicula to this line that goes through another point such as (4,10)

Ivan began dividing g2  – 6 by g + 1, noting that . he started by placing g in the quotient, as shown below. what is g2  – 6 divided by g + 1? g –  1 –  g + 1  – g  –  7 + g  –  5  + 

I’m which figure is point g an orthocenter

The graph of g(x) is a translation of y = which equation represents g(x)?