What is the formula to find the distance d between two points $\left( x _ { 1 } , y _ { 1 } \right)$ and $\left( x _ { 2 } , y _ { 2 } \right)$ ?
A) $d = \sqrt { \left( x _ { 2 } + x _ { 1 } \right) ^ { 2 } + \left( y _ { 2 } + y _ { 1 } \right) ^ { 2 } }$
B) $d = \sqrt { \left( x _ { 2 } + x _ { 1 } \right) ^ { 2 } - \left( y _ { 2 } + y _ { 1 } \right) ^ { 2 } }$
C) $d = \sqrt { \left( x _ { 2 } - x _ { 1 } \right) ^ { 2 } + \left( y _ { 2 } - y _ { 1 } \right) ^ { 2 } }$
D) $d = \left( x _ { 2 } - x _ { 1 } \right) ^ { 2 } + \left( y _ { 2 } - y _ { 1 } \right) ^ { 2 }$
E) $d = \sqrt { \left( x _ { 2 } - x _ { 1 } \right) ^ { 2 } - \left( y _ { 2 } - y _ { 1 } \right) ^ { 2 } }$

Question

Quizplus · Accepted Answer

The correct formula for finding the distance $d$ between two points $(x_1, y_1)$ and $(x_2, y_2)$ in a plane is $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$, which is derived from the Pythagorean theorem.

What Is the Formula to Find the Distance D Between (x1,y1)\left( x _ { 1 } , y _ { 1 } \right)(x1​,y1​)

What Is the Formula to Find the Distance D Between $\left( x _ { 1 } , y _ { 1 } \right)$