alleryStart learning →What are coincident lines?
ALines that cross at exactly one single point
BLines that have the same slope but different y-intercepts
CLines that have the same slope and same y-intercept
DLines that are perpendicular to each other
Answer & Solution
Correct answer: C. Lines that have the same slope and same y-intercept
1. The definition states directly that coincident lines share both the same slope and the same y-intercept.
2. Lines crossing at one point describe intersecting lines instead, and lines with the same slope but different intercepts describe parallel lines, neither of which is coincidence.
3. Perpendicular lines are a different geometric relationship entirely, unrelated to sharing a slope and intercept.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 5 "Systems of Linear Equations", section 5.1 Solve Systems of Equations by Graphing_
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