Select all of the following equations for which \( y \) is a function of \( x \). \( \begin{array}{l}\square=-5 x+2 \\ \square x+2 y=5 \\ \square=2 \\ \text { Question Help: } \square \text { Video } \square \text { Message instructor } \\ \text { Submit Question }\end{array} \)

To determine which of the given equations allows \( y \) to be expressed as a function of \( x \), we need to analyze each equation individually. 1. **Equation 1: \( y = -5x + 2 \)** This equation is already in the form \( y = f(x) \), where \( f(x) = -5x + 2 \). Therefore, \( y \) is a function of \( x \). 2. **Equation 2: \( x + 2y = 5 \)** We can rearrange this equation to solve for \( y \): \[ 2y = 5 - x \\ y = \frac{5 - x}{2} \] This shows that \( y \) can be expressed as a function of \( x \). Thus, \( y \) is a function of \( x \). 3. **Equation 3: \( y = 2 \)** This equation indicates that \( y \) is always equal to 2, regardless of the value of \( x \). While it does not depend on \( x \), it can still be considered a function (specifically, a constant function). Therefore, \( y \) is a function of \( x \). In conclusion, all three equations allow \( y \) to be expressed as a function of \( x \). Thus, the selected equations for which \( y \) is a function of \( x \) are: - \( y = -5x + 2 \) - \( x + 2y = 5 \) - \( y = 2 \)