When two lines are perpendicular, their slopes are negative reciprocals.
That means that the slope of one line is   -1/(slope of the other line).
You have the slope of one line.  It's  -3/7 .
So the slope of any line perpendicular to that one is  7/3 .
Now you know the slope of the new line, and you know one point on it.
                      Slope  =  7/3
     Through the point   (-7, 6)
I'm pretty sure you know how to do the rest.
The trick was knowing how to find the slope of the new line.