Question

find the distance between the two points in simplest radical form.

Explanation:

Step1: Identify the coordinates

Let the two points be \(A(x_1,y_1)\) and \(B(x_2,y_2)\). From the graph, \(A(1,1)\) and \(B(-7,-3)\).

Step2: Use the distance formula

The distance formula is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\).
Substitute \(x_1 = 1,y_1 = 1,x_2=-7,y_2 = -3\) into the formula:

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Answer:

\(4\sqrt{5}\)