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
4301	Find the line that is parallel to $y = 0$ and passes though the point $(0, 0)$ .	1
4302	Find the line that is perpendicular to $y = - 4 x$ and passes though the point $(4, 6)$ .	1
4303	Find the line that is parallel to $y = - \frac{4}{5} x + 2$ and passes though the point $(0, 0)$ .	1
4304	Find the line that is perpendicular to $y = \frac{1}{2} x - \frac{1}{8}$ and passes though the point $(1, 1)$ .	1
4305	Find the line that is perpendicular to $y = \frac{1}{4} x + 1$ and passes though the point $(3, - 6)$ .	1
4306	Find the line that is parallel to $y = - \frac{3}{5} x + 2$ and passes though the point $(10, 3)$ .	1
4307	Find the line that is perpendicular to $y = \frac{1}{4} x + 1$ and passes though the point $(- 6, 1)$ .	1
4308	Find the line that is parallel to $y = \frac{1}{2} x + 1$ and passes though the point $(- 8, 6)$ .	1
4309	Find the line that is perpendicular to $y = \frac{1}{7} x + 4$ and passes though the point $(- 1, 5)$ .	1
4310	Find the line that is parallel to $y = 0$ and passes though the point $(0, 0)$ .	1
4311	Find the line that is parallel to $y = 0$ and passes though the point $(7, 5)$ .	1
4312	Find the line that is perpendicular to $y = - \frac{3}{2} x + \frac{29}{2}$ and passes though the point $(3, 10)$ .	1
4313	Find the line that is perpendicular to $y = - \frac{3}{2} x + \frac{29}{2}$ and passes though the point $(3, 10)$ .	1
4314	Find the line that is parallel to $y = 3 x + 9$ and passes though the point $(- 1, - 1)$ .	1
4315	Find the line that is perpendicular to $y = \frac{1}{2} x + \frac{11}{2}$ and passes though the point $(5, 8)$ .	1
4316	Find the line that is perpendicular to $y = \frac{5}{3} x - \frac{7}{3}$ and passes though the point $(8, - 2)$ .	1
4317	Find the line that is perpendicular to $y = - \frac{5}{9} x - 1$ and passes though the point $(5, 4)$ .	1
4318	Find the line that is parallel to $y = - \frac{5}{9} x - 1$ and passes though the point $(5, 4)$ .	1
4319	Find the line that is perpendicular to $3 x - 2 y = 0$ and passes though the point $(\frac{4}{5}, \frac{9}{10})$ .	1
4320	Find the line that is parallel to $y = 2 x + 28$ and passes though the point $(0, 0)$ .	1
4321	Find the line that is parallel to $2 x - 1 = 0$ and passes though the point $(0, 0)$ .	1
4322	Find the line that is perpendicular to $y = \frac{5}{3} x + 5$ and passes though the point $(- 5, 1)$ .	1
4323	Find the line that is perpendicular to $x + 3 y = 0$ and passes though the point $(3, 8)$ .	1
4324	Find the line that is perpendicular to $y = \frac{1}{5} x + 9$ and passes though the point $(- 2, - 2)$ .	1
4325	Find the line that is perpendicular to $y = - 4 x + 2$ and passes though the point $(4, - 1)$ .	1
4326	Find the line that is parallel to $y = \frac{1}{8} x + 5$ and passes though the point $(- 6, 1)$ .	1
4327	Find the line that is parallel to $y = 75 x + 5$ and passes though the point $(- 3, - 6)$ .	1
4328	Find the line that is parallel to $y = - \frac{7}{4} x + 6$ and passes though the point $(6, - 7)$ .	1
4329	Find the line that is perpendicular to $3 x + 5 y - 15 = 0$ and passes though the point $(1, 1)$ .	1
4330	Find the line that is parallel to $y = \frac{3}{4} x - 5$ and passes though the point $(- 8, - 3)$ .	1
4331	Find the line that is perpendicular to $y = - \frac{5}{4} x + 2$ and passes though the point $(4, 1)$ .	1
4332	Find the line that is perpendicular to $y = 4 x + 3$ and passes though the point $(- 2, 3)$ .	1
4333	Find the line that is parallel to $4 x + 3 y - 7 = 0$ and passes though the point $(- 3, - 9)$ .	1
4334	Find the line that is perpendicular to $y = - 7 x + 1$ and passes though the point $(- 6, - 4)$ .	1
4335	Find the line that is parallel to $x - 6 y + 5 = 0$ and passes though the point $(- 6, - 4)$ .	1
4336	Find the line that is perpendicular to $x - 6 y - 5 = 0$ and passes though the point $(- 6, - 4)$ .	1
4337	Find the line that is parallel to $y = - 5 x + 7$ and passes though the point $(4, 2)$ .	1
4338	Find the line that is perpendicular to $2 x + 9 y + 1 = 0$ and passes though the point $(6, 1)$ .	1
4339	Find the line that is parallel to $y = 0$ and passes though the point $(0, 0)$ .	1
4340	Find the line that is perpendicular to $y = x$ and passes though the point $(0, 0)$ .	1
4341	Find the line that is parallel to $y = x + 7$ and passes though the point $(- 1, - 2)$ .	1
4342	Find the line that is perpendicular to $y = - \frac{1}{3} x + 1$ and passes though the point $(6, 1)$ .	1
4343	Find the line that is perpendicular to $y = \frac{1}{2} x - 9$ and passes though the point $(6, 1)$ .	1
4344	Find the line that is perpendicular to $y = - 4 x + 2$ and passes though the point $(8, 4)$ .	1
4345	Find the line that is parallel to $y = 3 x + 1$ and passes though the point $(4, 6)$ .	1
4346	Find the line that is perpendicular to $y = \frac{1}{9} x - 2$ and passes though the point $(6, - 4)$ .	1
4347	Find the line that is perpendicular to $y = \frac{1}{7} x - \frac{15}{7}$ and passes though the point $(- 5, - 3)$ .	1
4348	Find the line that is perpendicular to $y = \frac{1}{6} x - \frac{3}{2}$ and passes though the point $(9, 0)$ .	1
4349	Find the line that is parallel to $y = \frac{3}{2} x - 6$ and passes though the point $(8, 0)$ .	1
4350	Find the line that is perpendicular to $y = \frac{3}{2} x - 6$ and passes though the point $(8, 5)$ .	1