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

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

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.

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

Step 3

Simplify.

Subtract $4$ from $- 1$ .

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

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

$\sqrt{25 + {((- 1) - 3)}^{2}}$

Subtract $3$ from $- 1$ .

$\sqrt{25 + {(- 4)}^{2}}$

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

$\sqrt{25 + 16}$

Add $25$ and $16$ .

$\sqrt{41}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{41}$

Decimal Form:

$6.40312423 \dots$

Step 5