To find the rate of change between the two points \((0.5, 1)\) and \((-1.5, -3)\), we can use the formula for the slope (rate of change) between two points \((x_1, y_1)\) and \((x_2, y_2)\):
\[ \text{slope} = \frac{y_2 - y_1}{x_2 - x_1} \]
Assigning the values from the points:
- \(x_1 = 0.5\)
- \(y_1 = 1\)
- \(x_2 = -1.5\)
- \(y_2 = -3\)
Now, we can plug in these values into the formula:
\[ \text{slope} = \frac{-3 - 1}{-1.5 - 0.5} \]
Calculating the numerator and the denominator:
\[ \text{slope} = \frac{-4}{-2} = 2 \]
Therefore, the rate of change between the two points is \(2\).