Question

find the rate of change between the following points:
(0, 5)
(3, 6)
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skill code: 301001

Explanation:

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 \(m=\frac{y_2 - y_1}{x_2 - x_1}\).

Step2: Identify the points

Here, \((x_1, y_1)=(0, 5)\) and \((x_2, y_2)=(3, 6)\).

Step3: Substitute into the formula

Substitute the values into the slope formula: \(m=\frac{6 - 5}{3 - 0}\).

Step4: Simplify the expression

Simplify the numerator and denominator: \(m=\frac{1}{3}\).

Answer:

\(\frac{1}{3}\)