Question

Find the distance between (-3, 0) and (2, 7). Round to the nearest hundredth.

Answer 1

`√(74)` ≈ 8.60

Explanation:

On a 2-D plane, we can find the distance between 2 coordinate points.

2-D Distance

We can find the distance between 2 points by finding the length of a straight line that passes through both coordinate points. If 2 points have the same x or y-value we can find the distance by counting the units between 2 points. However, since these points are diagonal to each other, we have to use a different formula. This formula is simply known as the distance formula.

Distance Formula

The distance formula is as follows:

• 
  `d = \sqrt{(x_(2)- x_(1))^(2) +(y_(2)- y_(1))^2 }`

To solve we can plug in the x and y-values.

• 
  `d=√((2-(-3))^2+(7-0)^2)`

Now, we can simplify to find the final answer.

• 
  `d = √(74)`

This means that the distance between the 2 points is
`√(74)`. This rounds to 8.60.