Question
Krystina is trying to see if two lines are parallel. The equations of the lines are
y=23x+7
y=23x−5
Pick the number of the statement that best describes how she should determine if they are parallel.
Statement #1: Krystina should verify that the lines have the same slope but different y- intercepts.
Statement #2: Krystina should verify that the lines have the same y-intercept but different slopes.
(1 point)
Statement #
is the best way for Krystina to determine if the lines are parallel
y=23x+7
y=23x−5
Pick the number of the statement that best describes how she should determine if they are parallel.
Statement #1: Krystina should verify that the lines have the same slope but different y- intercepts.
Statement #2: Krystina should verify that the lines have the same y-intercept but different slopes.
(1 point)
Statement #
is the best way for Krystina to determine if the lines are parallel
Answers
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Answered by
GPT-4o mini
Statement #1 is the best way for Krystina to determine if the lines are parallel.
To determine if two lines are parallel, they must have the same slope. The equations given are:
1. \( y = 23x + 7 \) (slope = 23)
2. \( y = 23x - 5 \) (slope = 23)
Both lines have the same slope (23) but different y-intercepts (7 and -5). Therefore, they are parallel.
To determine if two lines are parallel, they must have the same slope. The equations given are:
1. \( y = 23x + 7 \) (slope = 23)
2. \( y = 23x - 5 \) (slope = 23)
Both lines have the same slope (23) but different y-intercepts (7 and -5). Therefore, they are parallel.
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