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
4201	Find the line that is parallel to $y = \frac{2}{3} x + 3$ and passes though the point $(1, 2)$ .	1
4202	Find the line that is perpendicular to $y = \frac{2}{3} x + 3$ and passes though the point $(1, 2)$ .	1
4203	Find the line that is perpendicular to $y = 7 x - 9$ and passes though the point $(5, - 4)$ .	1
4204	Find the line that is parallel to $y = 7 x - 9$ and passes though the point $(5, - 4)$ .	1
4205	Find the line that is parallel to $y = - \frac{6}{5} x - 7$ and passes though the point $(- 5, - 2)$ .	1
4206	Find the line that is perpendicular to $y = - \frac{6}{5} x - 7$ and passes though the point $(- 5, - 2)$ .	1
4207	Find the line that is perpendicular to $5 x + 3 y + 11 = 0$ and passes though the point $(- 4, - 2)$ .	1
4208	Find the line that is perpendicular to $y = \frac{4}{3} x + \frac{2}{3}$ and passes though the point $(- 3, 1)$ .	1
4209	Find the line that is perpendicular to $y = - 4 x + 9$ and passes though the point $(5, 3)$ .	1
4210	Find the line that is parallel to $y = - 6$ and passes though the point $(4, 2)$ .	1
4211	Find the line that is parallel to $y = - \frac{2}{3} x - 6$ and passes though the point $(4, 2)$ .	1
4212	Find the line that is perpendicular to $y = - \frac{2}{3} x - 6$ and passes though the point $(4, 2)$ .	1
4213	Find the line that is perpendicular to $y = x$ and passes though the point $(- 4, - 2)$ .	1
4214	Find the line that is parallel to $3 x + 4 y - 8 = 0$ and passes though the point $(0, 0)$ .	1
4215	Find the line that is perpendicular to $y = 6 x + 136$ and passes though the point $(8, 88)$ .	1
4216	Find the line that is parallel to $7 x + 6 y + 3 = 0$ and passes though the point $(6, - 4)$ .	1
4217	Find the line that is perpendicular to $7 x + 6 y + 3 = 0$ and passes though the point $(6, - 4)$ .	1
4218	Find the line that is perpendicular to $7 x + 2 y + 8 = 0$ and passes though the point $(5, 4)$ .	1
4219	Find the line that is parallel to $7 x + 2 y + 8 = 0$ and passes though the point $(5, 4)$ .	1
4220	Find the line that is perpendicular to $y = \frac{3}{2} x - 7$ and passes though the point $(5, 0)$ .	1
4221	Find the line that is perpendicular to $y = x$ and passes though the point $(- \frac{6}{5}, - \frac{5}{6})$ .	1
4222	Find the line that is perpendicular to $36 x + 25 y = 0$ and passes though the point $(0, 0)$ .	1
4223	Find the line that is parallel to $y = \frac{1}{6} x - \frac{5}{6}$ and passes though the point $(- 6, 1)$ .	1
4224	Find the line that is perpendicular to $y = - 10 x + 5$ and passes though the point $(10, 6)$ .	1
4225	Find the line that is perpendicular to $y = - 2 x - 3$ and passes though the point $(4, - 1)$ .	1
4226	Find the line that is perpendicular to $y = - \frac{5}{6} x - 3$ and passes though the point $(10, 7)$ .	1
4227	Find the line that is perpendicular to $y = \frac{5}{6} x - 3$ and passes though the point $(10, 7)$ .	1
4228	Find the line that is parallel to $2 x + 7 = 0$ and passes though the point $(- 2, 1)$ .	1
4229	Find the line that is perpendicular to $y = 3 x + 6$ and passes though the point $(4, 7)$ .	1
4230	Find the line that is parallel to $2 x + 5 y - 15 = 0$ and passes though the point $(- 10, 1)$ .	1
4231	Find the line that is parallel to $y = - 2 x - 13$ and passes though the point $(5, - 4)$ .	1
4232	Find the line that is parallel to $y = 4 x - 4$ and passes though the point $(7, 6)$ .	1
4233	Find the line that is perpendicular to $2 x - 3 y + 5 = 0$ and passes though the point $(2, - 1)$ .	1
4234	Find the line that is parallel to $3 x + 2 y = 0$ and passes though the point $(- 6, 9)$ .	1
4235	Find the line that is perpendicular to $x + y + 9 = 0$ and passes though the point $(4, - 5)$ .	1
4236	Find the line that is parallel to $y = - \frac{4}{3} x + 1$ and passes though the point $(9, - 3)$ .	1
4237	Find the line that is perpendicular to $6 x - y - 4 = 0$ and passes though the point $(2, 3)$ .	1
4238	Find the line that is parallel to $y = \frac{5}{3} x + \frac{5}{3}$ and passes though the point $(- 6, 3)$ .	1
4239	Find the line that is parallel to $y = x + 2$ and passes though the point $(- 4, - 3)$ .	1
4240	Find the line that is parallel to $2 x + 3 y + 4 = 0$ and passes though the point $(2, 7)$ .	1
4241	Find the line that is perpendicular to $y = \frac{1}{2} x + 5$ and passes though the point $(6, 6)$ .	1
4242	Find the line that is perpendicular to $y = - \frac{2}{7} x + 5$ and passes though the point $(10, 8)$ .	1
4243	Find the line that is perpendicular to $y = 2 x - 3$ and passes though the point $(- 6, - 4)$ .	1
4244	Find the line that is perpendicular to $y = 5 x + 4$ and passes though the point $(10, - 3)$ .	1
4245	Find the line that is parallel to $y = 3 x + 4$ and passes though the point $(3, 4)$ .	1
4246	Find the line that is perpendicular to $y = - 6 x + 5$ and passes though the point $(4, 4)$ .	1
4247	Find the line that is parallel to $2 x + 4 y + 3 = 0$ and passes though the point $(2, - 5)$ .	1
4248	Find the line that is parallel to $y = 2 x - 3$ and passes though the point $(2, - 5)$ .	1
4249	Find the line that is parallel to $2 x - 4 y - 3 = 0$ and passes though the point $(2, - 5)$ .	1
4250	Find the line that is perpendicular to $y = - \frac{8}{3} x - 1$ and passes though the point $(0, 0)$ .	1