If you could also show me your work, I'd appreciate it.
two lines are perpendicular if their slopes are opposite reciprocals.
determine the slope of the line 7x+y = 6 by changing to y = mx+b form.
find the opposite reciprocal of the slope of 7x+y = 6, then use that slope and the given point to write the required linear equation.
if you require further info, go to the link for a lesson ...
Pearson Prentice Hall Mathematics Video