9 Levi determined that \( y=2 \) is NOT a linear function because it does not take the form \( y=m x+b \). a. Explain why Levi's reasoning is incorrect. b. How else could Levi have determined whether the graph was linear or nonlinear?

Levi's reasoning is incorrect because the equation \( y=2 \) represents a horizontal line where the output \( y \) is always 2, regardless of the input \( x \). This still fits within the broader definition of a linear function, as it can be expressed in the slope-intercept form with \( m=0 \) and \( b=2 \). Linear functions can indeed take any constant form, making \( y=2 \) linear! To determine if a graph is linear or nonlinear, Levi could check how the values change when inputting different values for \( x \). If the change in \( y \) remains constant (which it does in this case since \( y \) is always 2), the graph is linear. Alternatively, plotting multiple points could visually show whether the relationship forms a straight line or curves.