Find the Distance Between Two Points (7,-4) , (-8,-5)

$(7, - 4)$ , $(- 8, - 5)$

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.

$\sqrt{{((- 8) - 7)}^{2} + {((- 5) - (- 4))}^{2}}$

Step 3

Simplify.

Subtract $7$ from $- 8$ .

$\sqrt{{(- 15)}^{2} + {((- 5) - (- 4))}^{2}}$

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

$\sqrt{225 + {((- 5) - (- 4))}^{2}}$

Multiply $- 1$ by $- 4$ .

$\sqrt{225 + {(- 5 + 4)}^{2}}$

Add $- 5$ and $4$ .

$\sqrt{225 + {(- 1)}^{2}}$

Raise $- 1$ to the power of $2$ .

$\sqrt{225 + 1}$

Add $225$ and $1$ .

$\sqrt{226}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{226}$

Decimal Form:

$15.03329637 \dots$

Step 5