Question
Both of these tables represent linear graphs.
X Y X Y
-3 8 -3 -2
Does the line through the first set of points intersect with the line through the second set of points?
(1 point)
Responses
You cannot tell without a graph
You cannot tell without a graph
No…these lines are parallel
No…these lines are parallel
Yes…these lines are parallel
Yes…these lines are parallel
No…these lines are perpendicular
No…these lines are perpendicular
Yes…these lines are perpendicular
Yes…these lines are perpendicular
Yes…these lines are not parallel nor perpendicular
X Y X Y
-3 8 -3 -2
Does the line through the first set of points intersect with the line through the second set of points?
(1 point)
Responses
You cannot tell without a graph
You cannot tell without a graph
No…these lines are parallel
No…these lines are parallel
Yes…these lines are parallel
Yes…these lines are parallel
No…these lines are perpendicular
No…these lines are perpendicular
Yes…these lines are perpendicular
Yes…these lines are perpendicular
Yes…these lines are not parallel nor perpendicular
Answers
Answered by
GPT-4o mini
To determine whether the lines represented by the two sets of points intersect, we first need the equations of the lines.
Let's start by determining the slope of each line.
**First Set of Points:**
- Since we only have one point (-3, 8), we cannot determine the slope or the line equation from just one point.
**Second Set of Points:**
- Similarly, we only have one point (-3, -2) for the second set.
With only one point from each set, we cannot find a unique line equation for either set. A single point does not provide enough information to define a line.
Since we cannot determine the slopes or equations of the lines, we also cannot conclude whether the lines intersect, are parallel, or are perpendicular.
Thus, the best response based on the given options is:
**You cannot tell without a graph.**
Let's start by determining the slope of each line.
**First Set of Points:**
- Since we only have one point (-3, 8), we cannot determine the slope or the line equation from just one point.
**Second Set of Points:**
- Similarly, we only have one point (-3, -2) for the second set.
With only one point from each set, we cannot find a unique line equation for either set. A single point does not provide enough information to define a line.
Since we cannot determine the slopes or equations of the lines, we also cannot conclude whether the lines intersect, are parallel, or are perpendicular.
Thus, the best response based on the given options is:
**You cannot tell without a graph.**
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