Write an equation in standard form for the line described .through (7,9) , parallel to x+6y=9

The only thing you need from the parallel equation is the slope, which is -1/6. Now you have an x, y, and m(slope), so plus that into the y=mx+b formula, solve for be, and the write the equation as y=-1/6x+(whatever you find the y-intercept to be)

The line paralell to ax+by=c is
ax+by=z where a=a and b=b

so
paralell to
1x+6y=9 is
1x+6y=?

find ?
plug in point (7,9)
(x,y)
x=7 and y=9
1(7)+6(9)=?
7+54=?
61=?

x+6y=61 is answer