Question

Find the distance between the two points (-2,-6) and (0,5).

Answer 1

Answer: OPTION B

Step-by-step explanation:

You can find the distance between two points by using the following formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Given the points  (-2,-6) and (0,5), you can identify that:

$x_2=-2\\x_1=0\\\\y_2=-6\\y_1=5$

Therefore, substituting values, you get that the distance between those points is:

 $d=\sqrt{(-2-0)^2+(-6-5)^2}\\\\d=5\sqrt{5}$

Answer 2

Answer:

The correct answer is option A.  √5

Step-by-step explanation:

Points to remember

Distance formula

The distance between two points (x1, y1) and (x2, y2) is given by

Distance = √(x2 - x1)² + (y2 - y1)²]

To find the distance between given points

Here (x1, y1) = (-2, 6) and (x2, y2) = (0, 5)

Distance = √(x2 - x1)² + (y2 - y1)²]

 = √(0 -  -2)² + (5 - 6)²]

 =  √(2² + 1²)]

 = √(4 +1)

 = √5

The correct answer is option A.  √5