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

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

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.

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

Step 3

Simplify.

Multiply $- 1$ by $- 1$ .

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

Add $3$ and $1$ .

$\sqrt{4^{2} + {((- 3) - 0)}^{2}}$

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

$\sqrt{16 + {((- 3) - 0)}^{2}}$

Subtract $0$ from $- 3$ .

$\sqrt{16 + {(- 3)}^{2}}$

Raise $- 3$ to the power of $2$ .

$\sqrt{16 + 9}$

Add $16$ and $9$ .

$\sqrt{25}$

Rewrite $25$ as $5^{2}$ .

$\sqrt{5^{2}}$

Pull terms out from under the radical, assuming positive real numbers.

$5$

Step 4