Question

determine the distance between the points a(5, -1) and b(-3, 2).

Explanation:

Step1: Identify the coordinates

Let \((x_1,y_1)=(5, - 1)\) and \((x_2,y_2)=(-3,2)\)

Step2: Use the distance formula

The distance formula between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\)
Substitute the values:

$$
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Answer:

\(\sqrt{73}\)