advertisement

Calculus 1 Equations of Lines Worksheet #2 Name ____________________________________ Write the equation of each of the three lines shown below. 4. slope of 5. slope of 4 and a y – intercept of 2 3 5 and through the point (3,2) 8 6. through (3,3) and (1,2) 7. parallel to 7 x 4 y 3 and through (2,1) 8. perpendicular to 3x 5 y 9 and through (0, 3) 9. the perpendicular bisector of the segment joining (6,3) and (2,13) Parallel and Perpendicular Lines Write the equation of the line in given the following information. 1. (-3, -4) and m = -6 2. (-2, 3), (1, 4) Write the equation of a line that is parallel to the given line and passes through the given point. 3. y = - 2x + 5; (0,4) 4. y = -x – 4; (6, 10) 5. 2x – 5y = 12; (15, 13) Write the equation of a line that is perpendicular to the given line & passes through the point. 6. y = 2x + 6; (0, -3) 7. 3x + 4y = 13; (2, 7) 8. 7x + 7y = 6; (5, 5) 9. For what value of k is the graph of kx + 6y – 9 = 0 parallel to the graph of 4x – 3y –10 = 0? For what value of k are the graphs perpendicular? 10. For what value of k is the graph of 4x + ky – 7 = 0 parallel to the graph of 3x – 4y -10 = 0? For what value of k are the graphs perpendicular?