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
201	Find the line that is perpendicular to $y = 6 x - 2$ and passes though the point $(6, - 2)$ .	7
202	Find the line that is parallel to $y = - 10 x - 8$ and passes though the point $A = (- 10, - 6)$ .	7
203	Find the line that is parallel to $y = - \frac{1}{8} x - 8$ and passes though the point $A = (8, 5)$ .	7
204	Find the line that is perpendicular to $x - y + 2 = 0$ and passes though the point $(0, 0)$ .	7
205	Find the line that is parallel to $y = 2 x - 3$ and passes though the point $(3, 5)$ .	7
206	Find the line that is perpendicular to $y = - 4 x + 3$ and passes though the point $(8, 1)$ .	6
207	Find the line that is parallel to $2 x + 3 y - 6 = 0$ and passes though the point $(0, 0)$ .	6
208	Find the line that is perpendicular to $3 x - 5 y + 2 = 0$ and passes though the point $(0, 0)$ .	6
209	Find the line that is parallel to $y = 4 x + 1$ and passes though the point $(- 2, 5)$ .	6
210	Find the line that is perpendicular to $x + 224.5 y = 0$ and passes though the point $(0, 0)$ .	6
211	Find the line that is perpendicular to $y = 2 x - 3$ and passes though the point $(3, 5)$ .	6
212	Find the line that is perpendicular to $y = - \frac{3}{2} x - 1$ and passes though the point $(0, - 8)$ .	6
213	Find the line that is parallel to $y = \frac{8}{7} x + 6$ and passes though the point $(- 8, - 2)$ .	6
214	Find the line that is perpendicular to $y = - 3 x + 7$ and passes though the point $(- 3, 1)$ .	6
215	Find the line that is perpendicular to $y = - 8 x + 4$ and passes though the point $(0, 0)$ .	6
216	Find the line that is perpendicular to $y = 3 x - 2$ and passes though the point $(1, 3)$ .	6
217	Find the line that is perpendicular to $y = \frac{1}{2} x + 8$ and passes though the point $(5, 3)$ .	6
218	Find the line that is perpendicular to $y = - \frac{1}{5} x + 3$ and passes though the point $(1, - 5)$ .	6
219	Find the line that is perpendicular to $y = - \frac{5}{6} x + \frac{29}{4}$ and passes though the point $(5, - 1)$ .	6
220	Find the line that is parallel to $y = 4 x - 2$ and passes though the point $(0, - 9)$ .	6
221	Find the line that is parallel to $y = 8 x + 3$ and passes though the point $(3, 9)$ .	6
222	Find the line that is perpendicular to $y = - \frac{1}{3} x + 12$ and passes though the point $(- 2, - 5)$ .	6
223	Find the line that is perpendicular to $y = - 2 x - 18$ and passes though the point $(8, 2)$ .	6
224	Find the line that is perpendicular to $y = \frac{3}{5} x - 5$ and passes though the point $(- 3, 0)$ .	6
225	Find the line that is perpendicular to $y = 5 x + 5$ and passes though the point $(- 9, - 5)$ .	6
226	Find the line that is perpendicular to $y = - \frac{1}{6} x - 1$ and passes though the point $A = (- 5, 5)$ .	6
227	Find the line that is parallel to $y = - 4 x - \frac{4}{5}$ and passes though the point $A = (7, - 6)$ .	6
228	Find the line that is parallel to $y = - \frac{4}{5} x + \frac{8}{5}$ and passes though the point $A = (7, - 6)$ .	6
229	Find the line that is perpendicular to $y = x + 6$ and passes though the point $A = (- 2, - 3)$ .	6
230	Find the line that is parallel to $y = - 2 x - 3$ and passes though the point $A = (- 9, 6)$ .	6
231	Find the line that is perpendicular to $x - 2 y - 8 = 0$ and passes though the point $A = (0, 0)$ .	6
232	Find the line that is perpendicular to $y = 6 x - 2$ and passes though the point $A = (0, - 2)$ .	6
233	Find the line that is perpendicular to $y = - 3 x - 9$ and passes though the point $A = (6, - 3)$ .	6
234	Find the line that is parallel to $y = - \frac{1}{9} x - 10$ and passes though the point $A = (- 9, - 7)$ .	6
235	Find the line that is parallel to $y = x + 1$ and passes though the point $A = (9, 9)$ .	6
236	Find the line that is parallel to $y = 5 x + 9$ and passes though the point $A = (- 2, - 3)$ .	6
237	Find the line that is parallel to $y = 3 x - 5$ and passes though the point $A = (0, 0)$ .	6
238	Find the line that is perpendicular to $y = - \frac{1}{5} x + 9$ and passes though the point $(- 2, - 2)$ .	6
239	Find the line that is parallel to $y = \frac{3}{5} x - 3$ and passes though the point $A = (5, 6)$ .	6
240	Find the line that is perpendicular to $y = x$ and passes though the point $A = (- 2, 3)$ .	6
241	Find the line that is perpendicular to $3 x - 4 y - 10 = 0$ and passes though the point $A = (1, 2)$ .	6
242	Find the line that is perpendicular to $y = \frac{9}{8} x + 8$ and passes though the point $A = (- 9, 2)$ .	6
243	Find the line that is perpendicular to $y = - 2 x + 2$ and passes though the point $A = (- 1, - 2)$ .	6
244	Find the line that is perpendicular to $y = 6 x - 12$ and passes though the point $A = (8, - 4)$ .	6
245	Find the line that is perpendicular to $y = - 9 x + 9$ and passes though the point $A = (1, - 1)$ .	6
246	Find the line that is perpendicular to $y = x + 3$ and passes though the point $A = (0, 0)$ .	6
247	Find the line that is parallel to $5 x + 4 y + 1 = 0$ and passes though the point $A = (- 4, - 5)$ .	6
248	Find the line that is perpendicular to $y = - \frac{7}{3} x + 8$ and passes though the point $A = (0, 0)$ .	6
249	Find the line that is parallel to $y = \frac{5}{2} x$ and passes though the point $A = (0, 0)$ .	6
250	Find the line that is parallel to $y = 5 x - 3$ and passes though the point $A = (- 3, - 6)$ .	6