Write an equation of the line containing the given point and parellel to the given line (4,-8);9x-8y equals 7

9x-8y=7

put it in slope intercept form
y=mx+b
I get m=9/8, b= -7/8 check that.
so you want a new line with the same slope (parallel)

y= 9/8 x +b
put (4,-8) into the equation, solve for b, and you have
y=mx +b