Find the Distance Between Two Points (7,6) , (1,1)

$(7, 6)$ , $(1, 1)$

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.

$\sqrt{{(1 - 7)}^{2} + {(1 - 6)}^{2}}$

Step 3

Simplify.

Subtract $7$ from $1$ .

$\sqrt{{(- 6)}^{2} + {(1 - 6)}^{2}}$

Raise $- 6$ to the power of $2$ .

$\sqrt{36 + {(1 - 6)}^{2}}$

Subtract $6$ from $1$ .

$\sqrt{36 + {(- 5)}^{2}}$

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

$\sqrt{36 + 25}$

Add $36$ and $25$ .

$\sqrt{61}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{61}$

Decimal Form:

$7.81024967 \dots$

Step 5