Written as an equation, we have...
y=(1/4)(4x+8)
y=4x/4+8/4...distribute "1/4" to each term
in the parentheses
y=x+2...........Eq1, simplify
The Standard Form Equation is written as...
Ax+By=C where...
"A" (must be a positive integer) is the coefficient of "x", "B" is the coefficient of "y", and "C" is a constant.
Let's rewrite our Eq1 from above in Standard Form...
y=x+2.......Eq1
-x+y=x-x+2...subtract "x", both sides
-x+y=2..........simplify
x-y=-2.........multiply both sides by (-1), "A" must
be a positive integer
Now, do you see it resembles the Standard Form Equation?...
x-y=-2...means...1x-1y=-2...means Ax+By=C
"A" is the coefficient of "x" = 1
"B" is the coefficient of "y" = -1
"C" is the constant = -2
The Standard Form is x-y=-2.