Chapter 7.5, Problem 1AYU

The distance $d$ from the point $\left(2,-3\right)$ to the point $\left(5,1\right)$ is ____ . (pp. 4-6)

To determine

To find: The distance $d$ from point $\left(2,-3\right)$ to point $\left(5,1\right)$.

Answer to Problem 1AYU

Solution:

The distance $d$ from point $\left(2,-3\right)$ to point $\left(5,1\right)=5$.

Explanation of Solution

Given:

Point $\left(2,-3\right)$ and point $\left(5,1\right)$.

Formula used:

Distance formula

$d=\sqrt{{(x_{1-}{x}_2)}^2+{(y_{1-}{y}_2)}^2}$

Calculation:

$d=\sqrt{{\left(2-5\right)}^2+{(-3-1)}^2}$

$d=\sqrt{{\left(-3\right)}^2+{(-4)}^2}$

$d=\sqrt{9+16}$

$d=\sqrt{25}$

$d=5$