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The rate of change is \( m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{25-22}{8-2} = \frac{3}{6} = 0.5 \).
The initial value is \( b = y_1 - mx_1 = 22 - 0.5(2) = 22 - 1 = 21 \).
Therefore, the rate of change is 0.5 and the initial value is 21.