Find the Distance Between Two Points (-2,-7) , (-1,8) | Mathway

Algebra Examples

$(- 2, - 7)$ , $(- 1, 8)$

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.

$\sqrt{{((- 1) - (- 2))}^{2} + {(8 - (- 7))}^{2}}$

Step 3

Simplify.

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Step 3.1

Multiply $- 1$ by $- 2$ .

$\sqrt{{(- 1 + 2)}^{2} + {(8 - (- 7))}^{2}}$

Step 3.2

Add $- 1$ and $2$ .

$\sqrt{1^{2} + {(8 - (- 7))}^{2}}$

Step 3.3

One to any power is one.

$\sqrt{1 + {(8 - (- 7))}^{2}}$

Step 3.4

Multiply $- 1$ by $- 7$ .

$\sqrt{1 + {(8 + 7)}^{2}}$

Step 3.5

Add $8$ and $7$ .

$\sqrt{1 + 15^{2}}$

Step 3.6

Raise $15$ to the power of $2$ .

$\sqrt{1 + 225}$

Step 3.7

Add $1$ and $225$ .

$\sqrt{226}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{226}$

Decimal Form:

$15.03329637 \dots$

Step 5

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$