Standard Form of a Line

From the following equations, in standard form, please find the values of $A$, $B$, and $C$:

  1. $x+5y=9 \rightarrow \mathbf{A=1, B=5, C=9}$
  2. $2x+3y-10=0 \rightarrow \mathbf{A=2, B=3, C=10}$
  3. $4x-9y-3=0 \rightarrow \mathbf{A=4, B=-9, C=3}$
  4. $5x+2y=16 \rightarrow \mathbf{A=5, B=2, C=16}$

Write the following equations in standard form:

  1. $y=3x+8 \rightarrow \mathbf{3x-y=-8}$
  2. $2y=\dfrac{1}{2}x-9 \rightarrow \mathbf{x-4y=18}$
  3. $4y=7x-8\rightarrow \mathbf{7x-4y=8}$
  4. $\dfrac{1}{3}y=-x+9 \rightarrow \mathbf{x+\dfrac{1}{3}y=9}$