alleryStart learning →Two lines never meet. What must be true of their slopes and intercepts?
ASame slope, different intercepts
BSame slope, same intercept value
COpposite slopes, same intercepts
DOpposite slopes, no intercepts
Answer & Solution
Correct answer: A. Same slope, different intercepts
1. Lines that never meet are parallel.
2. Parallel lines rise at exactly the same rate, so their slopes are equal.
3. If their y-intercepts also matched, the two lines would sit on top of each other rather than stay apart.
4. So parallel lines share a slope but have different y-intercepts.
_Source: OpenStax College Algebra (CC BY 4.0), section 2.2 Linear Equations in One Variable_
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