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📚 Topic Summary
Parallel lines are lines in the same plane that never intersect. A key characteristic of parallel lines is that they have the same slope. When working with equations of lines, particularly in slope-intercept form ($y = mx + b$), identifying parallel lines becomes straightforward: simply check if their 'm' values (slopes) are equal. This worksheet will help you practice identifying and working with equations of parallel lines.
🧠 Part A: Vocabulary
Match the terms with their correct definitions:
| Term | Definition |
|---|---|
| 1. Slope | A. A line that intersects two or more other lines. |
| 2. Y-intercept | B. The point where the line crosses the y-axis. |
| 3. Parallel Lines | C. Lines in the same plane that never intersect. |
| 4. Transversal | D. The measure of the steepness of a line. |
| 5. Slope-intercept form | E. $y = mx + b$, where m is the slope and b is the y-intercept. |
✏️ Part B: Fill in the Blanks
Complete the following paragraph using the words: slope, intersect, same, y-intercept, parallel.
__________ lines never __________. They have the __________ __________. The __________ may be different.
🤔 Part C: Critical Thinking
Explain why two lines with the same slope but different y-intercepts will never intersect.
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