Find the Distance Between Two Points (1,2) , (-1,-3)

$(1, 2)$ , $(- 1, - 3)$

Step 1

Use the distance formula to determine the distance between the two points.

$Distance = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$

Step 2

Substitute the actual values of the points into the distance formula.

$\sqrt{{((- 1) - 1)}^{2} + {((- 3) - 2)}^{2}}$

Step 3

Simplify.

Subtract $1$ from $- 1$ .

$\sqrt{{(- 2)}^{2} + {((- 3) - 2)}^{2}}$

Raise $- 2$ to the power of $2$ .

$\sqrt{4 + {((- 3) - 2)}^{2}}$

Subtract $2$ from $- 3$ .

$\sqrt{4 + {(- 5)}^{2}}$

Raise $- 5$ to the power of $2$ .

$\sqrt{4 + 25}$

Add $4$ and $25$ .

$\sqrt{29}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{29}$

Decimal Form:

$5.38516480 \dots$

Step 5