Chapter 8.3, Problem 1AYU

Write the formula for the distance d from $P_1\text{ = }\left(x_1,y_1\right)$ to $P_2\text{ = }\left(x_2,y_2\right)$. (p. 4)

To determine

To find: The formula for the distance $\text{d}$ from $P_1 = \left(x_1, y_1\right)$ to $P_2 = \left(x_2, y_2\right)$

Answer to Problem 1AYU

Solution:

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

Explanation of Solution

Given:

$P_1 = \left(x_1, y_1\right)$ and $P_2 = \left(x_2, y_2\right)$

Calculation:

$P_1 = \left(x_1, y_1\right)$ and $P_2 = \left(x_2, y_2\right)$

Let $\text{d}$ be the distance between $P_1$ and $P_2$.

The distance between them is given by

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