Determine if lines q and v are parallel.

Question

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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.