Write each of the following equations in the standard form $a x+b y+c=0$ and indicate the values of $a, b$ and $c$ in each case

$2 x=3 y$

Write four solutions for each of the following equations

$2 x-5 y=10$

If the point $(2,3)$ lies on the graph of the equation $3 x+a y=18,$ find the value of $a$.

If the point $(3,4)$ lies on the graph of $3 y=a x+7,$ then find the value of $a$.

Solve the equation $3 x-1=x+7$ and represent the solution(s) on $(1)$ the number line $(2)$ the Cartesian plane.