Question

name: ______ date: ____ per: ______ ** this is a 2 - page directions: find the distance between each pair 1. (-4, 6) and (3, -7)

Explanation:

Step1: Recall distance formula

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

Step2: Substitute values

$x_1=-4,y_1 = 6,x_2 = 3,y_2=-7$; $d=\sqrt{(3-(-4))^2+((-7 - 6))^2}=\sqrt{(7)^2+(-13)^2}=\sqrt{49 + 169}=\sqrt{218}$

Answer:

$\sqrt{218}$