Question

find the distance between the following points​

Answer 1

Hope u understand!!
Here distance formula have to be used

Answer 2

$\huge \underline \mathfrak {Solution:-}$

We have to find out the distance between the two points (-2,-3) and (3,2).

For finding the distance between two points we can use the given formula.

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

This formula is used to find out the distance between two points and that's why it is named as distance formula.

According to question,

$x_1 = - </strong><strong>5</strong><strong> \\ \\ x_2 = </strong><strong>-</strong><strong>5</strong><strong> \\ \\ y_1 = - </strong><strong>8</strong><strong> \\ \\ y_2 = </strong><strong>-</strong><strong>1</strong><strong>2$

Now,

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

$= \sqrt{ {(</strong><strong>-</strong><strong>5</strong><strong>-</strong><strong>(</strong><strong>-</strong><strong>5</strong><strong>)</strong><strong>)}^{2} + {( </strong><strong>-</strong><strong>8</strong><strong>-</strong><strong>(</strong><strong>-</strong><strong>1</strong><strong>2</strong><strong>)</strong><strong>)}^{2} } \\ \\ = \sqrt{ {( </strong><strong>-</strong><strong>5</strong><strong>+</strong><strong>5</strong><strong>)}^{2} + { (</strong><strong>-</strong><strong>8</strong><strong>+</strong><strong>1</strong><strong>2</strong><strong>)}^{2} } \\ \\ = \sqrt{ {</strong><strong>0</strong><strong>}^{2} + {</strong><strong>4</strong><strong>}^{2} } \\ \\ = </strong><strong>4</strong><strong>\: units$

So, the distance between the points is 4 units.