To determine if lines \( q \) and \( v \) are parallel, we need to find their slopes. Parallel lines have equal slopes, while lines that intersect have different slopes.
The slope (m) of a line is typically calculated using the formula:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
- Identify the equations of the lines (if given) or any two points on each line.
- Calculate the slope for each line.
- Compare the slopes.
If the slopes are equal, then lines \( q \) and \( v \) are parallel (Option B). If they are different, they are not parallel (Options A or C).
If you can provide the equations of the lines or the coordinates of points on each line, I can assist you in finding the slopes and determining whether the lines are parallel.