Find the Distance Between Two Points (-1,-9) , (4,-7)

$(- 1, - 9)$ , $(4, - 7)$

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.

$\sqrt{{(4 - (- 1))}^{2} + {((- 7) - (- 9))}^{2}}$

Step 3

Simplify.

Multiply $- 1$ by $- 1$ .

$\sqrt{{(4 + 1)}^{2} + {((- 7) - (- 9))}^{2}}$

Add $4$ and $1$ .

$\sqrt{5^{2} + {((- 7) - (- 9))}^{2}}$

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

$\sqrt{25 + {((- 7) - (- 9))}^{2}}$

Multiply $- 1$ by $- 9$ .

$\sqrt{25 + {(- 7 + 9)}^{2}}$

Add $- 7$ and $9$ .

$\sqrt{25 + 2^{2}}$

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

$\sqrt{25 + 4}$

Add $25$ and $4$ .

$\sqrt{29}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{29}$

Decimal Form:

$5.38516480 \dots$

Step 5