Question

For the diagram below which equation is the correct use of the distance formula

Answer 1

The Answer is A, verified apex 

Answer 2

Answer: The correct equation is,

$6.71=\sqrt{ (11-5)^2+(y_2-6)^2}$

Step-by-step explanation:

If $(x_1,y_1)$ and $(x_2,y_2)$ are the endpoints of a line segment,

Then by the distance formula,

The length of the line segment is,

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Here, (5,6) and (11, $y_2$ ) are the endpoint of the line segment which has the length 6.71,

Thus, d = 6.71, $x_1=5$ $y_1=6$, $x_2=11$

$\implies 6.71 = \sqrt{ (11-5)^2+(y_2-6)^2$

Which is the required equation.