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click and drag to plot a perpendicular line. the line will change color…

Question

click and drag to plot a perpendicular line. the line will change colors when a parallel or perpendicular line is drawn accurately. answer attempt 1 out of 3 original slope: undefined perpendicular slope: undefined

Explanation:

Step1: Identify the original line

The given line is a vertical line. For a vertical line, the slope is undefined because the change in \(x\) (\(\Delta x\)) is \(0\) and slope \(m=\frac{\Delta y}{\Delta x}\), and division by zero is undefined.

Step2: Determine the perpendicular line

A line perpendicular to a vertical line is a horizontal line. The slope of a horizontal line is \(0\) since the change in \(y\) (\(\Delta y = 0\)) for any non - zero change in \(x\), so \(m=\frac{0}{\Delta x}=0\) for \(\Delta x
eq0\).

Answer:

Original Slope: undefined
Perpendicular Slope: \(0\)