Find the Distance Between Two Points (1,0) , (-3,-5)

$(1, 0)$ , $(- 3, - 5)$

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.

$\sqrt{{((- 3) - 1)}^{2} + {((- 5) - 0)}^{2}}$

Step 3

Simplify.

Subtract $1$ from $- 3$ .

$\sqrt{{(- 4)}^{2} + {((- 5) - 0)}^{2}}$

Raise $- 4$ to the power of $2$ .

$\sqrt{16 + {((- 5) - 0)}^{2}}$

Subtract $0$ from $- 5$ .

$\sqrt{16 + {(- 5)}^{2}}$

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

$\sqrt{16 + 25}$

Add $16$ and $25$ .

$\sqrt{41}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{41}$

Decimal Form:

$6.40312423 \dots$

Step 5