Question

find the distance between the points (5, -2) and (-1, -2)
○ 6
○ 8
○ 4
○ 2

Explanation:

Step1: Recall distance formula

The distance formula between two points \((x_1, y_1)\) and \((x_2, y_2)\) is \(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\). Here, \((x_1, y_1)=(5, -2)\) and \((x_2, y_2)=(-1, -2)\).

Step2: Calculate differences in coordinates

First, find \(x_2 - x_1=-1 - 5=-6\) and \(y_2 - y_1=-2 - (-2)=0\).

Step3: Substitute into distance formula

Substitute into the formula: \(d=\sqrt{(-6)^2 + 0^2}=\sqrt{36 + 0}=\sqrt{36}=6\).

Answer:

6