Find the Distance Between Two Points (-5,0) , (-4,1)

$(- 5, 0)$ , $(- 4, 1)$

Use the distance formula to determine the distance between the two points.

$Distance = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$

Substitute the actual values of the points into the distance formula.

$\sqrt{{((- 4) - (- 5))}^{2} + {(1 - 0)}^{2}}$

Simplify.

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Multiply $- 1$ by $- 5$ .

$\sqrt{{(- 4 + 5)}^{2} + {(1 - 0)}^{2}}$

Add $- 4$ and $5$ .

$\sqrt{1^{2} + {(1 - 0)}^{2}}$

One to any power is one.

$\sqrt{1 + {(1 - 0)}^{2}}$

Subtract $0$ from $1$ .

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

One to any power is one.

$\sqrt{1 + 1}$

Add $1$ and $1$ .

$\sqrt{2}$

The result can be shown in multiple forms.

Exact Form:

$\sqrt{2}$

Decimal Form:

$1.41421356 \dots$

Find the Distance Between Two Points (-5,0) , (-4,1)

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