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parallel line
[parallel line|parallel line] are lines that do not intersect.
Definition
parallel line are lines that do not intersect. Their equations are written in slope-intercept form.
Mechanism
parallel line The functions f ( x ) = 2 x + 3 and j ( x ) = 2 x − 6 each have a slope of 2, representing a pair of parallel lines. Their identical slopes indicate parallelism, while perpendicular lines would have slopes that are negative reciprocals.
Effects
parallel line Inconsistent systems produce false statements when solved, as parallel lines never intersect. Parallel lines, such as f(x) = 2x + 3 and j(x) = 2x − 6, share the same slope.