Find the Distance Between Two Points (8,-7) , (9,8)

$(8, - 7)$ , $(9, 8)$

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.

$\sqrt{{(9 - 8)}^{2} + {(8 - (- 7))}^{2}}$

Step 3

Simplify.

Subtract $8$ from $9$ .

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

One to any power is one.

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

Multiply $- 1$ by $- 7$ .

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

Add $8$ and $7$ .

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

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

$\sqrt{1 + 225}$

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