Question

question 7
find the distance between the points (5, -2) and (-1, -2)
○ 8
○ 2
○ 4
○ 6

Explanation:

Step1: Recall distance formula

The distance $d$ 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: Substitute given points

Let $(x_1,y_1)=(5,-2)$ and $(x_2,y_2)=(-1,-2)$. Substitute into formula:
$d=\sqrt{(-1-5)^2+(-2-(-2))^2}$

Step3: Simplify the expression

First calculate inside the parentheses:
$d=\sqrt{(-6)^2+(0)^2}=\sqrt{36+0}=\sqrt{36}$

Step4: Compute the square root

$d=6$

Answer:

○ 6