Question
Determine if lines q and v are parallel.
Question content area bottom left
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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Question content area bottom left
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.)
.
.
.
Question content area right
Part 1
-10
-8
-6
-4
-2
2
4
6
8
10
-10
-8
-6
-4
-2
2
4
6
8
10
x
y
Answers
GPT-4o mini
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.
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.