Question

original slope:
parallel slope:

Explanation:

Identify the given line on the coordinate plane

Using the Slope of Horizontal and Vertical Lines knowledge point
The graph shows a vertical blue line passing through \(x = -8\) and another vertical green line passing through \(x = -5\). The yellow points and line indicate the original line is the vertical line at \(x = -5\).

Determine the slope of the original vertical line

Using the Slope of Horizontal and Vertical Lines knowledge point

$$ m_{\text{original}} = \text{undefined} $$

Determine the slope of a parallel line

Using the Parallel Lines knowledge point

$$ m_{\text{parallel}} = m_{\text{original}} = \text{undefined} $$

Answer:

Original Slope: undefined

Parallel Slope: undefined