Question

1. find the distance between the points (-1, -5) and (2, -1).

3
4
5
4.5

Explanation:

Step1: Identify distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$.

Step2: Assign values

Let $(x_1,y_1)=(-1,-5)$ and $(x_2,y_2)=(2,-1)$. Then $x_2 - x_1=2-(-1)=3$ and $y_2 - y_1=-1 - (-5)=4$.

Step3: Calculate distance

$d=\sqrt{3^2 + 4^2}=\sqrt{9 + 16}=\sqrt{25}=5$.

Answer:

C. 5