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3.4 Day 2: Equations of Lines Name: ___________________________________ 1. Fill in the blank: a) The slopes of parallel lines are ____________________________. Example of parallel slopes: _______ & _______ b) The slopes of perpendicular lines are ___________________ ______________________. Example of perpendicular slopes: _______ & _______ 2. If A(–3, –7) and B(–1, 3), what is the slope of the line parallel to AB ? 3. If C(1, 1) and D(4, 10), what is the slope of the line perpendicular to CD ? Write the equation of a line passing through the given point and parallel to the given equation. 2 4. (0, –3); y = – 3x – 6 5. (3, 4); y = 2x Write the equation of a line passing through the given point and perpendicular to the given equation. 6. (3, 2); y = x + 5 7. (–8, 5); y = –4x + 2 Determine if the given pair of lines is parallel, perpendicular, or neither. 3 1 8. y = − 4 x + 2 and 4x + 3y = 3 9. y = 2 x – 5 and –x + 2y = 6 10. Find the slope of the line parallel to the one below. 11. Find the slope of the line parallel to the one below. 12. Find the slope of the line perpendicular to the one below. m = _______ m = _______ m = _______ 13. Write the equation of the line perpendicular to the one below. 14. Write the equation of the line parallel to the one below. _________________________ _________________________ 15. Given A(3, 6), B(8, –13), C(4, -7), D(-1, 12), are AB and CD are parallel, perpendicular, or neither? 16. Using point-slope form, write the equation of the line with a slope of 4 through the point (2, 5). 3 17. Using point-slope form, write the equation of the line parallel to the line y = 2x + 7 and through (-2, 9). 18. Write the equation of the line through (6, -3) and (11, 5).