Question

What is the distance between points J and K if J is at (−3, 2) and K is at (1, −6)

Answer 1

Answer: 8.94

Explanation:

To find the distance, you need to use the distance formula which is
`d=\sqrt{(x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2)}`.

To do this, we take our points. We have point J (-3,2) and point K (1,-6). Now, we have
`d=\sqrt{(1+3)^(2)+(-6-2)^(2)}`. From there, we get
`d=\sqrt{(4)^(2)+(-8)^(2)}` by doing addition and subtraction. After, we square both to get
`d=√(16+64)` which is
`d=√(80)`, which in decimal form is 8.94427191 or 8.94 rounded to the nearest hundredth.

So therefore, our distance between the two points is 6.94.

Hope that helped a lot.

:)