Question

graph a line that is parallel to the given line. determine the slope of the given line and the one you graphed in simplest form. click and drag on the graph to draw a line. click and drag to plot a parallel line. the line will change colors when a parallel or perpendicular line is drawn accurately.

Explanation:

Step1: Identify the given line's type

The given line is vertical (since it's parallel to the y - axis, has an undefined slope as it's of the form \(x = a\) where \(a\) is a constant).

Step2: Determine the slope of parallel lines

Parallel lines to a vertical line are also vertical lines. The slope of a vertical line is undefined. So, the slope of the given vertical line and the parallel line we graph (which is also vertical) is undefined.

Step3: Graph the parallel line

To graph a parallel line, we can draw another vertical line (e.g., \(x = b\) where \(b
eq a\) for the given vertical line \(x = a\)). For example, if the given line is \(x=- 3\) (from the graph's position), we can draw \(x = 2\) as a parallel vertical line.

Answer:

The slope of the given line and the parallel line is undefined. To graph the parallel line, draw a vertical line (e.g., \(x = k\) where \(k\) is a constant different from the \(x\) - value of the given vertical line).