Find the Distance Between Two Points (-3,0) and (3,7)

$(- 3, 0)$ and $(3, 7)$

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.

$\sqrt{{(3 - (- 3))}^{2} + {(7 - 0)}^{2}}$

Step 3

Simplify.

Multiply $- 1$ by $- 3$ .

$\sqrt{{(3 + 3)}^{2} + {(7 - 0)}^{2}}$

Add $3$ and $3$ .

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

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

$\sqrt{36 + {(7 - 0)}^{2}}$

Subtract $0$ from $7$ .

$\sqrt{36 + 7^{2}}$

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

$\sqrt{36 + 49}$

Add $36$ and $49$ .

$\sqrt{85}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{85}$

Decimal Form:

$9.21954445 \dots$

Step 5