Question

find the distance between the pair of points. (-2,-3) and (-5,-7) a. 6 b. 10 c. 25 d. 5

Explanation:

Step1: Identify the coordinates

Let \((x_1,y_1)=(-2,-3)\) and \((x_2,y_2)=(-5,-7)\)

Step2: Use the distance formula \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\)

Substitute the values: \(x_2 - x_1=-5-(-2)=-5 + 2=-3\), \(y_2 - y_1=-7-(-3)=-7 + 3=-4\)

Step3: Calculate \((x_2 - x_1)^2+(y_2 - y_1)^2\)

\((-3)^2+(-4)^2=9 + 16=25\)

Step4: Take the square root

\(d=\sqrt{25}=5\)

Answer:

D. 5