Determine the distance between the pair of points.
-(7, -1) and (3, -3)
C) 12
D) 2

Question

Determine the distance between the pair of points.
-(7, -1) and (3, -3)
C) 12 
D) 2

Quizplus · Accepted Answer

We can use the distance formula to find the distance between these two points. 
d = sqrt((3-7)^2 + (-3-(-1))^2)
d = sqrt(16 + 4)
d = sqrt(20) = 2sqrt(5) 
The answer in radical form is not given in the options, but we can simplify it to the nearest hundredth to get 4.47, which matches with option B. Using the distance formula:

distance = sqrt[(x2 - x1)^2 + (y2 - y1)^2]
distance = sqrt[(3 - 7)^2 + (-3 - (-1))^2]
distance = sqrt[(-4)^2 + (-2)^2]
distance = sqrt[16 + 4]
distance = sqrt[20]
distance = 2sqrt(5)

Therefore, the answer is B.

Determine the Distance Between the Pair of Points