Find the Distance Between Two Points (4,2) , (-3,2)

$(4, 2)$ , $(- 3, 2)$

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.

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

Step 3

Simplify.

Subtract $4$ from $- 3$ .

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

Raise $- 7$ to the power of $2$ .

$\sqrt{49 + {(2 - 2)}^{2}}$

Subtract $2$ from $2$ .

$\sqrt{49 + 0^{2}}$

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

$\sqrt{49 + 0}$

Add $49$ and $0$ .

$\sqrt{49}$

Rewrite $49$ as $7^{2}$ .

$\sqrt{7^{2}}$

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

$7$

Step 4