Question

question 5

• required

1

1. which formula is used to find the midpoint between two points...

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

Explanation:

The formula for the mid - point between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $MP = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. The first option $mx + b$ is the slope - intercept form of a line, the second option $\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$ is the distance formula, and the third option $\frac{y_2 - y_1}{x_2 - x_1}$ is the slope formula.

Answer:

$(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$