Question

What is the distance between (6, 2) and (-3, -2)?

9
3

5

Answer 1

`√( 97 )`

EXPLANATION

The formula for calculating the distance between two points is

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

We use this formula to find the distance between (6,2) and (-3,-2)

We plug in the points to get,

`d = \sqrt{ {( - 3-6)}^(2) +( - 2-2)^(2) } .`

`d = \sqrt{ {( - 9)}^(2) +( - 4)^(2) } .`

`d = √( 81+16)`

`d = √( 97 )`

The distance between the two given points is

`√( 97 )`

Answer 2

Option A is correct.

Explanation:

Distance between two points can be calculated from formula

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

Here x₁ = 6, y₁ = 2,x₂ = -3 and y₂ = -2

Putting the values in the formula

`d = √((-3-(6))^2+(-2-(2))^2)\\d = √((-3-6)^2+(-2-2)^2) \\d = √((-9)^2+(-4)^2) \\d = √(81+16)\\d = √(97)\\d= 9.85`

So, the distance between points (6, 2) and (-3, -2) is 9.85 or ≈ 9.

So, Option A is correct.