Question

use the distance formula to find the exact distance between the points (5, -3) and (-4, 7).
(d=sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}})

Explanation:

Step1: Identify the coordinates

Let \((x_1,y_1)=(5, - 3)\) and \((x_2,y_2)=(-4,7)\)

Step2: Substitute into the distance formula

Substitute \(x_1 = 5,y_1=-3,x_2=-4,y_2 = 7\) into \(d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\)

$$
LATEXBLOCK0
$$

Answer:

\(\sqrt{181}\)