Find the distance d(P1, P2) between the points P1 and P2.
-$$\mathrm { P } _ { 1 } = ( 5 , - 7 ) ; \mathrm { P } _ { 2 } = ( 7 , - 1 )$$
A) 4
B) 32
C) $2 \sqrt { 10 }$
D) $32 \sqrt { 2 }$

Question

Quizplus · Accepted Answer

The distance between two points $(x_1, y_1)$ and $(x_2, y_2)$ in a plane is given by the formula $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$. Applying this formula to the given points $P_1 = (5, -7)$ and $P_2 = (7, -1)$, we get $d = \sqrt{(7 - 5)^2 + (-1 + 7)^2} = \sqrt{4 + 36} = \sqrt{40} = 2\sqrt{10}$.

Find the Distance D(P1, P2) Between the Points P1 and P2