Question

find the distance between the points (-9.8, 8.7) and (-9.8, 3.4).

Explanation:

Step1: Identify the coordinates

The two points are \((-9.8, 8.7)\) and \((-9.8, 3.4)\). Since the \(x\)-coordinates are the same, the distance between them is the absolute difference of the \(y\)-coordinates.

Step2: Calculate the distance

The distance \(d\) between two points \((x_1, y_1)\) and \((x_2, y_2)\) when \(x_1 = x_2\) is \(|y_1 - y_2|\). Here, \(y_1 = 8.7\) and \(y_2 = 3.4\), so \(d = |8.7 - 3.4|\).
\(8.7 - 3.4 = 5.3\), and the absolute value of \(5.3\) is \(5.3\).

Answer:

The distance between the two points is \(5.3\).