Question

calculate the rate of change between (0,3) and (5,2). enter your answer as a fraction.
question 4
1 pts
calculate the rate of change between (2,7) and (6,8). enter your answer as a fraction.

Explanation:

First Problem (Between (0,3) and (5,2)):

Step1: Recall rate of change formula

The rate of change (slope) between two points \((x_1,y_1)\) and \((x_2,y_2)\) is given by \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Here, \(x_1 = 0,y_1 = 3,x_2 = 5,y_2 = 2\).

Step2: Substitute values into formula

Substitute the values: \(m=\frac{2 - 3}{5 - 0}=\frac{- 1}{5}\).

Step1: Recall rate of change formula

The rate of change (slope) between two points \((x_1,y_1)\) and \((x_2,y_2)\) is given by \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Here, \(x_1 = 2,y_1 = 7,x_2 = 6,y_2 = 8\).

Step2: Substitute values into formula

Substitute the values: \(m=\frac{8 - 7}{6 - 2}=\frac{1}{4}\).

Answer:

\(-\frac{1}{5}\)

Second Problem (Between (2,7) and (6,8)):