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

$(4, 6)$ , $(7, 6)$

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.

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

Simplify.

Tap for more steps…

Subtract $4$ from $7$ .

$\sqrt{3^{2} + {(6 - 6)}^{2}}$

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

$\sqrt{9 + {(6 - 6)}^{2}}$

Subtract $6$ from $6$ .

$\sqrt{9 + 0^{2}}$

Raising $0$ to any positive power yields $0$ .

$\sqrt{9 + 0}$

Add $9$ and $0$ .

$\sqrt{9}$

Rewrite $9$ as $3^{2}$ .

$\sqrt{3^{2}}$

Pull terms out from under the radical, assuming positive real numbers.

$3$

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