Find the Distance Between Two Points (-1,-3) , (2,4)

$(- 1, - 3)$ , $(2, 4)$

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

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

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

$\sqrt{{(2 - (- 1))}^{2} + {(4 - (- 3))}^{2}}$

Simplify.

Multiply $- 1$ by $- 1$ .

$\sqrt{{(2 + 1)}^{2} + {(4 - (- 3))}^{2}}$

Add $2$ and $1$ .

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

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

$\sqrt{9 + {(4 - (- 3))}^{2}}$

Multiply $- 1$ by $- 3$ .

$\sqrt{9 + {(4 + 3)}^{2}}$

Add $4$ and $3$ .

$\sqrt{9 + 7^{2}}$

Raise $7$ to the power of $2$ .

$\sqrt{9 + 49}$

Add $9$ and $49$ .

$\sqrt{58}$

The result can be shown in multiple forms.

Exact Form:

$\sqrt{58}$

Decimal Form:

$7.61577310 \dots$