Algebra Examples

$(- 3, 4)$ , $(1, 7)$

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.

$\sqrt{{(1 - (- 3))}^{2} + {(7 - 4)}^{2}}$

Step 3

Simplify.

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Step 3.1

Multiply $- 1$ by $- 3$ .

$\sqrt{{(1 + 3)}^{2} + {(7 - 4)}^{2}}$

Step 3.2

Add $1$ and $3$ .

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

Step 3.3

Raise $4$ to the power of $2$ .

$\sqrt{16 + {(7 - 4)}^{2}}$

Step 3.4

Subtract $4$ from $7$ .

$\sqrt{16 + 3^{2}}$

Step 3.5

Raise $3$ to the power of $2$ .

$\sqrt{16 + 9}$

Step 3.6

Add $16$ and $9$ .

$\sqrt{25}$

Step 3.7

Rewrite $25$ as $5^{2}$ .

$\sqrt{5^{2}}$

Step 3.8

Pull terms out from under the radical, assuming positive real numbers.

$5$

Step 4