Question

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

Explanation:

Step1: Identify coordinates

First, find the coordinates of the two points. From the graph, let's assume the first point is \((7, 9)\) and the second is \((9, 6)\) (by reading the x and y values from the grid).

Step2: Apply 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 \(x_1 = 7\), \(y_1 = 9\), \(x_2 = 9\), \(y_2 = 6\):
\(d = \sqrt{(9 - 7)^2 + (6 - 9)^2}\)
\(d = \sqrt{(2)^2 + (-3)^2}\)
\(d = \sqrt{4 + 9}\)
\(d = \sqrt{13}\)

Answer:

\(\sqrt{13}\)