Parallel and perpendicular lines

(the database of solved problems)

All the problems and solutions shown below were generated using the Parallel and perpendicular lines calculator.

Select category

ID	Problem	Count
51	Find the line that is perpendicular to $y = 3$ and passes though the point $A = (- 2, - 4)$ .	16
52	Find the line that is perpendicular to $y = \frac{2}{3} x + 4$ and passes though the point $A = (- 4, 1)$ .	16
53	Find the line that is perpendicular to $y = - \frac{1}{3} x + 1$ and passes though the point $(6, - 1)$ .	15
54	Find the line that is parallel to $y = \frac{3}{10} x + 8$ and passes though the point $A = (- 7, - 2)$ .	15
55	Find the line that is parallel to $y = 5 x + 3$ and passes though the point $(- 1, 6)$ .	15
56	Find the line that is perpendicular to $y = - \frac{9}{8} x - 9$ and passes though the point $A = (- 8, - 3)$ .	14
57	Find the line that is parallel to $y = - \frac{3}{4} x - 3$ and passes though the point $A = (- 2, - 2)$ .	14
58	Find the line that is parallel to $y = 2 x + \frac{8}{9}$ and passes though the point $A = (7, 9)$ .	14
59	Find the line that is parallel to $y = - x - 10$ and passes though the point $A = (- 2, - 1)$ .	14
60	Find the line that is parallel to $y = 2 x + 5$ and passes though the point $A = (0, 0)$ .	13
61	Find the line that is perpendicular to $y = \frac{6}{7} x + 1$ and passes though the point $A = (7, - 7)$ .	13
62	Find the line that is perpendicular to $y = - \frac{5}{7} x - 5$ and passes though the point $A = (5, - 5)$ .	13
63	Find the line that is parallel to $3 x + 2 y + 6 = 0$ and passes though the point $(0, 0)$ .	13
64	Find the line that is parallel to $y = - \frac{5}{7} x - 10$ and passes though the point $A = (- 9, 5)$ .	13
65	Find the line that is parallel to $y = - \frac{9}{7} x + \frac{10}{7}$ and passes though the point $(- 4, 4)$ .	13
66	Find the line that is parallel to $y = - \frac{1}{7} x - 2$ and passes though the point $A = (7, 6)$ .	13
67	Find the line that is parallel to $y = - 7$ and passes though the point $A = (7, 5)$ .	13
68	Find the line that is perpendicular to $y = 9 x + 1$ and passes though the point $A = (3, - 2)$ .	13
69	Find the line that is perpendicular to $y = \frac{3}{4} x - 2$ and passes though the point $A = (6, - 3)$ .	13
70	Find the line that is parallel to $y = \frac{1}{2} x - 2$ and passes though the point $A = (- 4, - 1)$ .	12
71	Find the line that is perpendicular to $y = \frac{3}{4} x - 4$ and passes though the point $(- 3, 5)$ .	12
72	Find the line that is parallel to $y = - 10 x + \frac{5}{4}$ and passes though the point $A = (- 1, 3)$ .	12
73	Find the line that is parallel to $y = - \frac{5}{6} x - 5$ and passes though the point $A = (9, - 4)$ .	12
74	Find the line that is parallel to $y = - \frac{7}{6} x + \frac{71}{6}$ and passes though the point $A = (5, - 7)$ .	12
75	Find the line that is perpendicular to $y = - x - 6$ and passes though the point $A = (- 9, - 4)$ .	12
76	Find the line that is parallel to $y = \frac{3}{4} x - 4$ and passes though the point $A = (- 1, 7)$ .	11
77	Find the line that is parallel to $y = 3 x + 8$ and passes though the point $A = (- 3, 7)$ .	11
78	Find the line that is perpendicular to $y = x$ and passes though the point $(0, 0)$ .	11
79	Find the line that is parallel to $y = - 0.2222 x + 6$ and passes though the point $A = (3, 2)$ .	11
80	Find the line that is parallel to $y = \frac{8}{9} x + 2$ and passes though the point $A = (9, 4)$ .	11
81	Find the line that is perpendicular to $3 x + y + 6 = 0$ and passes though the point $A = (0, - 6)$ .	11
82	Find the line that is perpendicular to $y = - \frac{1}{9} x - 4$ and passes though the point $A = (1, 7)$ .	11
83	Find the line that is perpendicular to $y = \frac{1}{3} x - 5$ and passes though the point $A = (- 2, 2)$ .	11
84	Find the line that is parallel to $y = - 6 x - 1$ and passes though the point $(2, - 3)$ .	11
85	Find the line that is perpendicular to $y = - \frac{1}{2} x - 1$ and passes though the point $(- 2, 4)$ .	11
86	Find the line that is parallel to $x + 2 y + 4 = 0$ and passes though the point $A = (0, 0)$ .	11
87	Find the line that is perpendicular to $y = - 8 x + 2$ and passes though the point $(- 4, 1)$ .	11
88	Find the line that is parallel to $y = x$ and passes though the point $A = (1, 0)$ .	11
89	Find the line that is parallel to $y = - \frac{7}{10} x - 1$ and passes though the point $A = (- 6, 5)$ .	11
90	Find the line that is perpendicular to $y = x - 6$ and passes though the point $A = (4, 2)$ .	11
91	Find the line that is parallel to $y = - \frac{9}{7} x - 5$ and passes though the point $A = (9, 6)$ .	10
92	Find the line that is parallel to $y = \frac{1}{2} x - 10$ and passes though the point $A = (- 8, 3)$ .	10
93	Find the line that is parallel to $y = 0.1667 x - 5$ and passes though the point $A = (6, 2)$ .	10
94	Find the line that is parallel to $x - y + 2 = 0$ and passes though the point $(0, 0)$ .	10
95	Find the line that is parallel to $x + 2 = 0$ and passes though the point $A = (0, - 6)$ .	10
96	Find the line that is perpendicular to $y = \frac{1}{3} x + 1$ and passes though the point $A = (- 3, 4)$ .	10
97	Find the line that is parallel to $x + 1 = 0$ and passes though the point $A = (9, 9)$ .	10
98	Find the line that is perpendicular to $y = - \frac{1}{5} x - 3$ and passes though the point $A = (1, - 5)$ .	10
99	Find the line that is parallel to $y = 4 x - 1$ and passes though the point $(- 4, - 4)$ .	10
100	Find the line that is parallel to $y = - x + 4$ and passes though the point $A = (- 2, 3)$ .	10