of each equation algebraic 2. \( y=x-7 \)

**2. \( y = x - 7 \)** **Classification:** *Algebraic Equation* **Explanation:** An **algebraic equation** is any equation that involves only algebraic expressions, which include polynomials and their operations (addition, subtraction, multiplication, division, and non-negative integer exponents). The equation \( y = x - 7 \) is a **linear equation**, which is a specific type of algebraic equation. Here's why: - **Degree:** The highest power of the variable \( x \) is 1, making it a first-degree polynomial. - **Form:** It follows the standard linear form \( y = mx + b \), where \( m \) and \( b \) are constants. - **Operations:** It involves only addition and subtraction of algebraic terms. Since it satisfies all the conditions of an algebraic equation by involving a linear (polynomial of degree one) relationship between \( x \) and \( y \), \( y = x - 7 \) is indeed an algebraic equation.