Question

find the distance between the points (-10, -8.6) and (17.1, -8.6).
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Explanation:

Step1: Identify the y - coordinates

The two points are \((-10, - 8.6)\) and \((17.1,-8.6)\). We can see that the \(y\) - coordinates of both points are the same (\(y_1=y_2=-8.6\)). When the \(y\) - coordinates of two points are the same, the distance between the two points is given by the absolute difference of their \(x\) - coordinates.

Step2: Calculate the distance

The distance \(d\) between two points \((x_1,y_1)\) and \((x_2,y_2)\) when \(y_1 = y_2\) is \(d=\vert x_2 - x_1\vert\). Here, \(x_1=-10\) and \(x_2 = 17.1\). So, \(d=\vert17.1-(-10)\vert=\vert17.1 + 10\vert=\vert27.1\vert = 27.1\).

Answer:

\(27.1\)