Question

find the distance between the points (4, 7) and (4, -5). distance:

Explanation:

Step1: Identify the coordinates

The two points are \((4, 7)\) and \((4, -5)\). Here, \(x_1 = 4\), \(y_1 = 7\), \(x_2 = 4\), \(y_2 = -5\).

Step2: Use the distance formula for vertical line

Since \(x_1 = x_2\), the distance \(d\) is the absolute difference of the \(y\)-coordinates: \(d=\vert y_1 - y_2\vert\).
Substitute the values: \(d=\vert 7 - (-5)\vert=\vert 7 + 5\vert=\vert 12\vert = 12\).

Answer:

12