-9x+4y=1

The standard form of a linear equation is Ax+By=C.

Rewrite the equation with the sides flipped.

1=-9x+4y

Add 9x to both sides of the equation.

1+9x=4y

Subtract 4y from both sides of the equation.

1+9x-4y=0

Move 1.

9x-4y+1=0

9x-4y+1=0

Subtract 1 from both sides of the equation.

9x-4y=-1

Rewrite in Standard Form -9x+4y=1