Chapter 11.1, Problem 45SR

To determine

To find: The distance between two points.

Answer to Problem 45SR

The distance between two points is $\sqrt{153}$ .

Explanation of Solution

Given Information:

The given points are $\left(9,-2\right)$ and $\left(12,-14\right)$ .

Concept used:

The distance between two points is calculated as,

  $d=\sqrt{{\left(x_2-x_1\right)}^2+{\left(y_2-y_1\right)}^2}$

The distance between two points is calculated as,

  $\begin{array}{c}d=\sqrt{{\left(x_2-x_1\right)}^2+{\left(y_2-y_1\right)}^2}\\ =\sqrt{{\left(12-9\right)}^2+{\left(-14-\left(-2\right)\right)}^2}\\ =\sqrt{3^2+{\left(-12\right)}^2}\\ =\sqrt{153}\end{array}$

Thus, the distance between two points is $\sqrt{153}$ .