Question

question 1

1. given two points $(x_1,y_1)$ & $(x_2,y_2)$ to find the distance which formula would you use...

$mx + b$
$sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$
$\frac{y_2 - y_1}{x_2 - x_1}$
$(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$

Explanation:

Step1: Recall distance - formula concept

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ in a two - dimensional plane is used to find the length of the line segment connecting them.

Step2: Identify the correct formula

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

Answer:

B. $\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$