Question

find the distance between the points (-8, -9) and (10, -9).

Explanation:

Step1: Identify the coordinates

The two points are \((x_1,y_1)=(-8,-9)\) and \((x_2,y_2)=(10,-9)\). Since \(y_1 = y_2=-9\), the distance formula simplifies.

Step2: Apply the distance formula for horizontal line (\(y\)-coordinates equal)

The distance \(d=\vert x_2 - x_1\vert\). Substitute \(x_1=-8\) and \(x_2 = 10\) into the formula: \(d=\vert10-(-8)\vert=\vert10 + 8\vert\).

Step3: Calculate the absolute value

\(\vert10 + 8\vert=\vert18\vert = 18\).

Answer:

\(18\)