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?