Precalculus Examples

$(7, 9)$ , $(0, 3)$

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.

$\sqrt{{((0) - (7))}^{2} + {((3) - (9))}^{2}}$

Simplify.

Tap for more steps...

Multiply $- 1$ by $7$ .

$\sqrt{{(0 - 7)}^{2} + {((3) - (9))}^{2}}$

Subtract $7$ from $0$ .

$\sqrt{{(- 7)}^{2} + {((3) - (9))}^{2}}$

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

$\sqrt{49 + {((3) - (9))}^{2}}$

Multiply $- 1$ by $9$ .

$\sqrt{49 + {(3 - 9)}^{2}}$

Subtract $9$ from $3$ .

$\sqrt{49 + {(- 6)}^{2}}$

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

$\sqrt{49 + 36}$

Add $49$ and $36$ .

$\sqrt{85}$

The approximate value for the distance between the two points is $9.21954445$ .

$\sqrt{85} \approx 9.21954445$

Enter YOUR Problem