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.

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ID	Problem	Count
1	Find the line that is parallel to $y = 0$ and passes though the point $(0, 0)$ .	536
2	Find the line that is perpendicular to $y = - \frac{8}{3} x + 5$ and passes though the point $A = (3, 5)$ .	83
3	Find the line that is perpendicular to $y = x$ and passes though the point $A = (0, 0)$ .	49
4	Find the line that is perpendicular to $y = 7 x - 5$ and passes though the point $A = (8, - 4)$ .	45
5	Find the line that is parallel to $y = - \frac{1}{5} x + 9$ and passes though the point $(- 10, 1)$ .	31
6	Find the line that is perpendicular to $y = 4 x + 2$ and passes though the point $(9, 6)$ .	31
7	Find the line that is perpendicular to $y = - 4 x + 9$ and passes though the point $A = (4, 6)$ .	28
8	Find the line that is parallel to $y = 3 x + 6$ and passes though the point $A = (4, 7)$ .	27
9	Find the line that is perpendicular to $y = - 7$ and passes though the point $A = (7, 5)$ .	27
10	Find the line that is parallel to $y = - \frac{1}{5} x + 9$ and passes though the point $A = (- 10, 1)$ .	26
11	Find the line that is perpendicular to $y = 8 x + 7$ and passes though the point $A = (- 8, - 2)$ .	25
12	Find the line that is parallel to $y = - \frac{3}{7} x - 8$ and passes though the point $A = (- 7, 4)$ .	25
13	Find the line that is parallel to $y = - 2 x + 10$ and passes though the point $A = (- 1, 2)$ .	24
14	Find the line that is parallel to $y = - \frac{7}{4} x + 2$ and passes though the point $A = (6, - 7)$ .	24
15	Find the line that is parallel to $y = 2 x + 3$ and passes though the point $(- 2, - 1)$ .	24
16	Find the line that is perpendicular to $y = x - 0.3333$ and passes though the point $A = (0, 0)$ .	23
17	Find the line that is perpendicular to $y = \frac{1}{2} x + 3$ and passes though the point $A = (5, - 4)$ .	23
18	Find the line that is parallel to $5 x + 9 y - 6 = 0$ and passes though the point $A = (- 2, - 4)$ .	22
19	Find the line that is perpendicular to $y = \frac{9}{5} x - 2$ and passes though the point $A = (5, - 3)$ .	22
20	Find the line that is perpendicular to $y = - \frac{9}{7} x - 5$ and passes though the point $A = (9, 6)$ .	21
21	Find the line that is parallel to $y = - \frac{5}{4} x - 6$ and passes though the point $A = (5, - 8)$ .	21
22	Find the line that is perpendicular to $y = \frac{1}{8} x + 10$ and passes though the point $A = (- 1, 1)$ .	19
23	Find the line that is parallel to $y = - \frac{2}{5} x + 4$ and passes though the point $A = (- 3, 2)$ .	19
24	Find the line that is perpendicular to $y = 1.1111 x + 1$ and passes though the point $A = (- 3, 3)$ .	19
25	Find the line that is parallel to $3 x - 5 y - 30 = 0$ and passes though the point $A = (5, - 3)$ .	19
26	Find the line that is perpendicular to $y = \frac{1}{4} x - 2$ and passes though the point $A = (4, - 1)$ .	19
27	Find the line that is perpendicular to $y = - \frac{3}{7} x - 1$ and passes though the point $A = (6, - 1)$ .	19
28	Find the line that is perpendicular to $y = - 8 x + 6$ and passes though the point $A = (2, - 2)$ .	19
29	Find the line that is parallel to $y = \frac{7}{2} x + 6$ and passes though the point $A = (- 2, - 3)$ .	18
30	Find the line that is perpendicular to $y = - \frac{2}{5} x + 10$ and passes though the point $A = (1, 7)$ .	17
31	Find the line that is perpendicular to $y = - x + 7$ and passes though the point $A = (- 8, - 1)$ .	17
32	Find the line that is parallel to $y = \frac{3}{4} x + 3$ and passes though the point $A = (- 4, - 4)$ .	17
33	Find the line that is parallel to $y = - 6 x - 3$ and passes though the point $A = (3, - 3)$ .	16
34	Find the line that is perpendicular to $y = - 9 x + 10$ and passes though the point $A = (- 2, - 1)$ .	16
35	Find the line that is perpendicular to $y = - 5 x + 6$ and passes though the point $A = (- 1, - 2)$ .	16
36	Find the line that is perpendicular to $y = \frac{1}{2} x + 8$ and passes though the point $A = (2, - 7)$ .	16
37	Find the line that is perpendicular to $y = - 2 x + 5$ and passes though the point $A = (6, - 5)$ .	16
38	Find the line that is parallel to $y = - 4 x + 3$ and passes though the point $A = (0, 0)$ .	15
39	Find the line that is parallel to $y = - \frac{1}{3} x - 8$ and passes though the point $A = (- 10, 6)$ .	15
40	Find the line that is perpendicular to $y = 10 x - 8$ and passes though the point $A = (- 10, - 6)$ .	15
41	Find the line that is perpendicular to $y = - \frac{8}{3} x + 5$ and passes though the point $(3, 5)$ .	15
42	Find the line that is parallel to $y = - \frac{8}{7} x - 3$ and passes though the point $A = (8, 3)$ .	15
43	Find the line that is parallel to $y = - \frac{5}{3} x - 2$ and passes though the point $A = (- 6, - 5)$ .	15
44	Find the line that is parallel to $y = - 4 x - \frac{5}{3}$ and passes though the point $A = (- 3, 3)$ .	15
45	Find the line that is parallel to $y = \frac{3}{10} x + 8$ and passes though the point $A = (- 7, - 2)$ .	14
46	Find the line that is perpendicular to $y = - \frac{9}{4} x + 1$ and passes though the point $A = (- 3, 2)$ .	14
47	Find the line that is perpendicular to $y = \frac{2}{3} x + 4$ and passes though the point $A = (- 4, 1)$ .	14
48	Find the line that is parallel to $y = \frac{1}{5} x - 3$ and passes though the point $A = (- 1, 1)$ .	14
49	Find the line that is parallel to $y = - x - 10$ and passes though the point $A = (- 2, - 1)$ .	14
50	Find the line that is parallel to $y = 2 x + \frac{8}{9}$ and passes though the point $A = (7, 9)$ .	14