find the distance between the two points in simplest radical form.\nanswer\nattempt 1 out of 2

Explanation:

Step1: Identify the coordinates of the two points

From the graph, the two points are ((-6,-5)) and ((0,-1)). Let ((x_1,y_1)=(-6,-5)) and ((x_2,y_2)=(0,-1)).

Step2: Use the distance formula (d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2})

Substitute the values: (d=\sqrt{(0 - (-6))^2+(-1 - (-5))^2}) Simplify inside the square root: (d=\sqrt{(0 + 6)^2+(-1 + 5)^2}=\sqrt{6^2+4^2}) Calculate the squares: (d=\sqrt{36 + 16}) Add the numbers: (d=\sqrt{52}) Simplify the radical: (d=\sqrt{4\times13}=2\sqrt{13})

Answer:

(2\sqrt{13})