Question

graph a line that is perpendicular 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 perpendicular line. the line will change colors when a parallel or perpendicular line is drawn accurately.

Explanation:

Identify the given line and its slope

The given line is a horizontal line passing through \(y = -5\).
The slope of any horizontal line is \(0\).

Determine the perpendicular line and its slope

A line perpendicular to a horizontal line must be a vertical line.
The slope of any vertical line is undefined.

Graph the perpendicular line

Any vertical line (for example, the y-axis \(x = 0\)) is perpendicular to the given horizontal line \(y = -5\).

Answer:

• Slope of the given line: \(0\)
• Slope of the perpendicular line: Undefined
• Equation of a perpendicular line: Any vertical line of the form \(x = c\) (for example, \(x = 0\))