Question

The distance between the points A(-6,-4) and B(9,-12) is :

1 point

15 units

17 units

16 units

13 units

​

Answer 1

Answer:

17 units

Step-by-step explanation:

Here, A=(-6,-4)

         B=(9,-12)

Let x1 = -6, x2 = 9, y1 = -4, y2 = -12

⇒ AB = √(x2 - x1)² + (y2 - y1)²     # Distance Formula

         = √(9 - (-6))² + (-12 - (-4))²

         = √(9 + 6)² + (-12 + 4)²

         = √(15)² + (-8)²

         = √225 + 64

         = √289

         = 17 units

∴ The distance between the points AB = 17 units.