Question

What is the distance between points (6,-5) and (2,-2)

Answer 1

Answer:

5.

Step-by-step explanation:

Distance = √(2-6)^2 + (-2-(-5)^2)

= √(16 + 9)

= √25

= 5.

Answer 2

Hello ;)

We can calculate the distance between two points by knowing their coordinates.

Here is the formula :

Let two points $A(x_{A};y_{A})$ and $B(x_{B};y_{B})$

The distance between those two points is given by using this formula :

$AB^{2} =(x_{B}-x_{A})^{2} +(y_{B}-y_{A})^{2}$

Now, we can use this formula in your exercice.

(2 - 6)² + (-2 - (-5))²

= (-4)² + 3²

= 16 + 9

= 25

Do not forget to do the square root of 25 ;)

So we obtain : $\sqrt{25}=5$

The distance between points (6 ; -5) and (2 ; -2) is 5 units of lengh.

:-)