Question

Find the distance between the following pairs of points.
(I) (-5,7),(-1,3)​

Answer 1

Answer:

Step-by-step explanation:

P≡(−5,7)

Q≡(−1,3)

∴d(P,Q)=  

(−5−(−1))  

2

 

​  

+(7−3)  

2

 

∴d(P,Q)=  

16+16

​  

 

∴d(P,Q)=  

32

​  

 

∴d(P,Q)=4  

2

​

Answer 2

Answer:

$\sqrt{32}$

Step-by-step explanation:

d = \sqrt{(x2 - x1)^2 + (y2-y1)^2}

d = \sqrt{(-1 +5)^2 + (3-7)^2}

d= root 16+16

d=$\sqrt{32}$