Question

What is the distance between the two points (3,-3) and (6,1)

Answer 1

Answer:

Distance between the points $(3,-3)$ and $(6,1)$= 25

Step-by-step explanation:

The distance between two points in coordinate geometry can be find by using Distance formula.

If two points $(x_1,y_1)$ and $(x_2,y_2)$ are given then:

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

For points $(3,-3)$ and $(6,1)$

Distance=

               $=\sqrt{(6-3)^2+(1-(-3))^2} \\\\=\sqrt{(6-3)^2+(1+3)^2} \\\\=\sqrt{3^2+4^2}\\\\=\sqrt{9+16}\\\\=\sqrt{25}\\\\=5$

The distance between the points is 25

Answer 2

The distance between two points is 5 unit.

Step-by-step explanation:

Given,

Two points are (3,-3) and (6,1)

To find out the distance between them.

Formula

The distance between two points ($x_{1}, y_{1}$) and ($x_{2}, y_{2}$) is $\sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1})^{2} }$

Now,

Putting the values of $x_{1}=3, y_{1}=-3, x_{2}=6 ,y_{2}=1$  we get,

The distance is = $\sqrt{(6-3)^{2}+(1+3)^{2} }$ unit

= $\sqrt{25}$ = 5 unit