Question

find the distance between the points (-6.1, 9.2) and (9, 9.2).

units

Explanation:

Step1: Identify the formula for horizontal distance

Since the y - coordinates of the two points \((-6.1,9.2)\) and \((9,9.2)\) are the same (\(y_1 = y_2=9.2\)), the distance between them is the absolute difference of the x - coordinates. The formula for the distance \(d\) between two points \((x_1,y_1)\) and \((x_2,y_2)\) when \(y_1 = y_2\) is \(d=\vert x_2 - x_1\vert\).

Step2: Substitute the values of \(x_1\) and \(x_2\)

Here, \(x_1=-6.1\) and \(x_2 = 9\). So we calculate \(\vert9-(-6.1)\vert=\vert9 + 6.1\vert=\vert15.1\vert = 15.1\).

Answer:

\(15.1\)