Question

5 what is the length of the line segment with endpoints (-6,4) and (2,-5)? 1) $sqrt{13}$ 2) $sqrt{17}$ 3) $sqrt{72}$ 4) $sqrt{145}$

Explanation:

Step1: Recall distance formula

$d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$
Let $(x_1,y_1)=(-6,4)$ and $(x_2,y_2)=(2,-5)$.

Step2: Substitute values

$d=\sqrt{(2 - (-6))^2+(-5 - 4)^2}=\sqrt{(8)^2+(-9)^2}=\sqrt{64 + 81}=\sqrt{145}$

Answer:

1. $\sqrt{145}$