Questions: Find the distance (d) between the pair of points. (6,-1) and (6,-2) The distance is unit(s).

Find the distance (d) between the pair of points.
(6,-1) and (6,-2)

The distance is unit(s).
Transcript text: Find the distance $(d)$ between the pair of points. \[ (6,-1) \text { and }(6,-2) \] The distance is $\square$ unit(s).
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Solution

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Find the distance \( (d) \) between the pair of points \((6, -1)\) and \((6, -2)\).

Identify the coordinates

The coordinates of the two points are \((x_1, y_1) = (6, -1)\) and \((x_2, y_2) = (6, -2)\).

Apply the distance formula

The distance formula is: \[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]

Substitute the values into the formula

Substitute \(x_1 = 6\), \(y_1 = -1\), \(x_2 = 6\), and \(y_2 = -2\) into the formula: \[ d = \sqrt{(6 - 6)^2 + (-2 - (-1))^2} \]

Simplify the expression

Simplify the expression: \[ d = \sqrt{0^2 + (-1)^2} = \sqrt{0 + 1} = \sqrt{1} \]

Calculate the final distance

The final distance is: \[ d = 1 \]

The distance is \(\boxed{1}\) unit(s).

The distance between the points \((6, -1)\) and \((6, -2)\) is \(\boxed{1}\) unit(s).

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