Which statement describes parallel lines?

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Prepare for the Praxis Middle School Mathematics Exam with quizzes. Study with flashcards and multiple choice questions. Each question provides hints and detailed explanations. Ensure success on your test!

Multiple Choice

Which statement describes parallel lines?

Explanation:
Parallel lines share the same steepness, so their slopes are equal. If two lines have the same slope but start at different heights on the y-axis (different y-intercepts), they run in the same direction and never meet. That offset guarantees they stay parallel, never crossing each other. If the slopes were different, they would eventually intersect at some point. If the slopes and intercepts were both the same, you’d actually have the same line, not two distinct lines. The combination that describes parallel lines is having equal slopes and different intercepts.

Parallel lines share the same steepness, so their slopes are equal. If two lines have the same slope but start at different heights on the y-axis (different y-intercepts), they run in the same direction and never meet. That offset guarantees they stay parallel, never crossing each other.

If the slopes were different, they would eventually intersect at some point. If the slopes and intercepts were both the same, you’d actually have the same line, not two distinct lines. The combination that describes parallel lines is having equal slopes and different intercepts.

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