Question

find the distance between the points (1, 8) and (7, 3). write your answer as a whole number or a fully simplified radical expression. do not round. units

Explanation:

Step1: Recall distance formula

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

Step2: Identify the values of coordinates

Here $x_1 = 1,y_1 = 8,x_2 = 7,y_2 = 3$.

Step3: Substitute values into formula

$d=\sqrt{(7 - 1)^2+(3 - 8)^2}=\sqrt{6^2+( - 5)^2}=\sqrt{36 + 25}=\sqrt{61}$.

Answer:

$\sqrt{61}$