W 2) Determine the slope of the function as a unit rate for the linear situation. \( y=-4 \frac{4}{5} x+13 \frac{1}{2} \) \( m=-4.8 \) \( m=13.5 \) not enough information

To determine the slope of the function as a unit rate for the linear equation given, we can analyze the equation: \[ y = -4 \frac{4}{5} x + 13 \frac{1}{2} \] First, let's convert the mixed numbers into improper fractions or decimals for easier calculation: 1. Convert \(-4 \frac{4}{5}\): \[ -4 \frac{4}{5} = -4 - \frac{4}{5} = -\frac{20}{5} - \frac{4}{5} = -\frac{24}{5} = -4.8 \] 2. Convert \(13 \frac{1}{2}\): \[ 13 \frac{1}{2} = 13 + \frac{1}{2} = 13 + 0.5 = 13.5 \] Now, the equation can be rewritten as: \[ y = -4.8x + 13.5 \] In this linear equation, the slope \(m\) is the coefficient of \(x\), which represents the rate of change of \(y\) with respect to \(x\). Thus, the slope \(m\) is: \[ m = -4.8 \] This means that for every unit increase in \(x\), \(y\) decreases by 4.8 units. Therefore, the correct answer is: \[ m = -4.8 \]