Question

find the distance between the points (3, -10) and (3, -3).

Explanation:

Step1: Identify the coordinates

The two points are \((3, -10)\) and \((3, -3)\). Here, \(x_1 = 3\), \(y_1 = -10\), \(x_2 = 3\), \(y_2 = -3\).

Step2: Use the distance formula for vertical line (since \(x\)-coordinates are equal)

For a vertical line, the distance \(d\) between two points \((x, y_1)\) and \((x, y_2)\) is \(|y_2 - y_1|\).
So, \(d = |-3 - (-10)|\)

Step3: Calculate the value

\(|-3 + 10| = |7| = 7\)

Answer:

7