Let's solve the given equation step by step.
1. Original Equation:
We start with the given equation:
[tex]\[
4x + 2y = 8
\][/tex]
2. Dividing All Terms by 2:
To simplify the equation, we divide every term on both sides of the equation by 2:
[tex]\[
\frac{4x + 2y}{2} = \frac{8}{2}
\][/tex]
3. Simplified Equation:
Perform the division on each term:
[tex]\[
2x + y = 4
\][/tex]
Therefore, the simplified equation of the line is:
[tex]\[
2x + y = 4
\][/tex]
So, the coefficients of the simplified equation are:
[tex]\[
\boxed{2 \text{ and } 4}
\][/tex]