Find Coefficients in y=6+3x: Linear Equation Analysis

To solve this problem, we'll follow these steps:

• Step 1: Identify the given equation and its form.
• Step 2: Compare it with the standard quadratic equation $y = ax^2 + bx + c$.
• Step 3: Determine the values of $a$, $b$, and $c$.
• Step 4: Choose the correct multiple-choice answer based on these values.

Now, let's work through each step:
Step 1: The given equation is $y = 6 + 3x$. This equation is a linear equation of the form $y = mx + c$.
Step 2: We compare it with the quadratic form $y = ax^2 + bx + c$.
Step 3: Notice there is no $x^2$ term in the given equation, which means $a = 0$. The term involving $x$ is $3x$, which means $b = 3$. The constant term is $6$, so $c = 6$.
Step 4: Based on the identified values $a = 0$, $b = 3$, and $c = 6$, the correct choice from the multiple-choice answers provided is choice 1: $a=0,b=3,c=6$.

Therefore, the solution to the problem is $a=0,b=3,c=6$.