Parallel and Perpendicular Lines: Identifying Slope and Finding Equations, Study Guides, Projects, Research of Abstract Algebra

Download Parallel and Perpendicular Lines: Identifying Slope and Finding Equations and more Study Guides, Projects, Research Abstract Algebra in PDF only on Docsity! 3.8 Homework Parallel lines have the SAME slope. Example: y = 2x + 1 and y = 2x + 3 Perpendicular lines have OPPOSITE RECRIPRICAL slopes. **Change the sign & flip the fraction! Example: y = 2x + 1 and y = -1/2x + 3 Neither lines are everything else. Example: y = 2x + 1 and y = 3x + 1 Are the following lines parallel, perpendicular, or neither? 1. y = 3x + 4 5. y = 4x + 1 9. y = 5x + 2 y = 3x – 5 y = -1/4x – 2 y = -1/5x + 2 2. y = 2x + 1 6. y = -2x + 5 10. y = -4x + 3 y = 2x – 9 y = -2x – 3 y = 1/4x + 6 3. y = -1/3x – 4 7. y = -x + 6 11. y = 9x + 7 y = 3x + 6 y = 6x – 1 y = 5x - 2 4. y = 2/3x + 5 8. y = 2x – 8 12. y = 2/3x - 4 y = -3/2x + 2 y = -1/2x + 4 y = -3/2x + 7 Write the equation of each line in slope-intercept form. 13. A line passing through (4, 2) that is parallel to a line with a slope of -5. 14. A line passing through (8, -2) that is parallel to a line for y = 3x + 5. 15. A line passing through (10, 3) that is perpendicular to a line with a slope of 2 3  . 16. A line passing through (10, -4) that is perpendicular y = 2x + 8