Find Coefficients in y=44-11x: Linear Equation Analysis

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

• Step 1: Identify the given equation, $y = 44 - 11x$.
• Step 2: Compare it to the standard quadratic equation form, $y = ax^2 + bx + c$.
• Step 3: Determine the values of $a$, $b$, and $c$ that make the equations equivalent.

Now, let's work through each step:
Step 1: The given equation is $y = 44 - 11x$. This is a linear equation, not quadratic, because it lacks the $x^2$ term.
Step 2: The standard form for a quadratic equation is $y = ax^2 + bx + c$. In our case, since there is no $x^2$ term, we can deduce $a = 0$.
Step 3: Compare terms. The equation can be rewritten as $y = 0 \cdot x^2 - 11x + 44$. By comparing both sides with $ax^2 + bx + c$, we find:

• $a = 0$ since there is no $x^2$ term.
• $b = -11$ which is the coefficient of $x$.
• $c = 44$, which is the constant term.

Therefore, the parameters are $\mathbf{a = 0}$, $\mathbf{b = -11}$, $\mathbf{c = 44}$, matching choice 2.