Question

given the coordinates of (5, 2) and (-1, 2), the distance is:
50.
none of the choices are correct.
16.
6.

Explanation:

Step1: Recall Distance Formula

For two points \((x_1, y_1)\) and \((x_2, y_2)\), distance \(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\).

Step2: Identify Coordinates

Here, \((x_1, y_1) = (5, 2)\), \((x_2, y_2) = (-1, 2)\).

Step3: Calculate Differences

\(x_2 - x_1 = -1 - 5 = -6\), \(y_2 - y_1 = 2 - 2 = 0\).

Step4: Apply Formula

\(d = \sqrt{(-6)^2 + 0^2} = \sqrt{36 + 0} = \sqrt{36} = 6\).

Answer:

6.