Question

Determine if lines q and v are parallel.
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Part 1
Select the correct choice below and fill in the answer​ box(es) to complete your choice.
A.
The slope of line q is enter your response here​, and the slope of line v is enter your response here. Since the product of their slopes is not minus−​1, lines q and v are not parallel.
​(Simplify your​ answers.)
B.
Since both lines have a slope of enter your response here​, lines q and v are parallel.
​(Simplify your​ answer.)
C.
The slope of line q is enter your response here​, and the slope of line v is enter your response here. Since the slopes are​ different, lines q and v are not parallel.
​(Simplify your​ answers.)
D.
The slope of line q is enter your response here​, and the slope of line v is enter your response here. Since the product of their slopes is minus−​1, lines q and v are parallel.
​(Simplify your​ answers.)
.
.
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Answer 1

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:

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

1. **Identify the equations of the lines** (if given) or any two points on each line.
2. **Calculate the slope for each line.**
3. **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.