Determine the distance between the pair of points.
-(-2, -1) and (1, -7)
A) 9
D) 27

Question

Determine the distance between the pair of points.
-(-2, -1) and (1, -7)
A) 9 
D) 27

Quizplus · Accepted Answer

We use the distance formula: 
distance = $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ 
Substituting the given coordinates: 
distance = $\sqrt{(1 - (-2))^2 + (-7 - (-1))^2}$ 
distance = $\sqrt{3^2 + (-6)^2}$ 
distance = $\sqrt{9 + 36}$ 
distance = $\sqrt{45}$ 
Simplifying, we get: 
distance = $\sqrt{9*5}$ 
distance = $\sqrt{9} * \sqrt{5}$ 
distance = $3\sqrt{5}$ 
Hence, the answer is C. Using the distance formula: 
d = sqrt((x2 - x1)^2 + (y2 - y1)^2) 
d = sqrt((1 - (-2))^2 + (-7 - (-1))^2) 
d = sqrt(3^2 + (-6)^2) 
d = sqrt(9 + 36) 
d = sqrt(45) 
d = 6.708 
Therefore, the distance between the two points is approximately 6.708, which is closest to choice C.

Determine the Distance Between the Pair of Points