Find the Distance Between Two Points (7,0) , (-6,4)

$(7, 0)$ , $(- 6, 4)$

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.

$\sqrt{{((- 6) - 7)}^{2} + {(4 - 0)}^{2}}$

Step 3

Simplify.

Subtract $7$ from $- 6$ .

$\sqrt{{(- 13)}^{2} + {(4 - 0)}^{2}}$

Raise $- 13$ to the power of $2$ .

$\sqrt{169 + {(4 - 0)}^{2}}$

Subtract $0$ from $4$ .

$\sqrt{169 + 4^{2}}$

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

$\sqrt{169 + 16}$

Add $169$ and $16$ .

$\sqrt{185}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{185}$

Decimal Form:

$13.60147050 \dots$

Step 5