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
151	Find the line that is parallel to $y = 2 x - 4$ and passes though the point $A = (0, 0)$ .	8
152	Find the line that is perpendicular to $y = 3 x + 5$ and passes though the point $A = (0, 0)$ .	8
153	Find the line that is perpendicular to $y = \frac{1}{2} x - 4$ and passes though the point $(2, 6)$ .	8
154	Find the line that is perpendicular to $y = - 2 x + 1$ and passes though the point $(4, 1)$ .	8
155	Find the line that is parallel to $y = - 4 x + 1$ and passes though the point $(- 1, 3)$ .	8
156	Find the line that is perpendicular to $y = - \frac{4}{3} x - 5$ and passes though the point $(- 4, 2)$ .	8
157	Find the line that is parallel to $y = 4 x + 11$ and passes though the point $(- 2, 4)$ .	8
158	Find the line that is perpendicular to $y = - \frac{4}{9} x - 2$ and passes though the point $(3, 5)$ .	8
159	Find the line that is parallel to $y = 2 x + 3$ and passes though the point $(2, 4)$ .	8
160	Find the line that is parallel to $y = - 2 x + 1$ and passes though the point $(0, 3)$ .	8
161	Find the line that is perpendicular to $y = \frac{1}{6} x + 7$ and passes though the point $(2, 6)$ .	8
162	Find the line that is perpendicular to $y = - \frac{1}{9} x + 5$ and passes though the point $(3, 6)$ .	8
163	Find the line that is parallel to $y = 4 x + 1$ and passes though the point $(- 2, - 5)$ .	8
164	Find the line that is perpendicular to $y = \frac{9}{7} x - 9$ and passes though the point $(9, - 6)$ .	7
165	Find the line that is perpendicular to $y = - \frac{1}{5} x + 3$ and passes though the point $(1, 2)$ .	7
166	Find the line that is parallel to $y = 4 x + 3$ and passes though the point $(- 1, 6)$ .	7
167	Find the line that is parallel to $y = - 3 x + 1$ and passes though the point $(2, 4)$ .	7
168	Find the line that is parallel to $y = x$ and passes though the point $(0, 0)$ .	7
169	Find the line that is perpendicular to $y = 3 x + 2$ and passes though the point $(3, 4)$ .	7
170	Find the line that is parallel to $y = 3 x + 7$ and passes though the point $(0, 0)$ .	7
171	Find the line that is parallel to $y = 2 x + 2$ and passes though the point $(3, - 1)$ .	7
172	Find the line that is parallel to $y = - 9 x - 1$ and passes though the point $(2, - 3)$ .	7
173	Find the line that is perpendicular to $y = - 4 x + 10$ and passes though the point $(7, 2)$ .	7
174	Find the line that is parallel to $y = 2 x - 7$ and passes though the point $(- 3, 6)$ .	7
175	Find the line that is parallel to $3 x - 4 y - 10 = 0$ and passes though the point $A = (1, 2)$ .	7
176	Find the line that is parallel to $y = - \frac{1}{8} x - 8$ and passes though the point $A = (8, 5)$ .	7
177	Find the line that is parallel to $y = - \frac{1}{4} x - 6$ and passes though the point $(- 6, 6)$ .	7
178	Find the line that is perpendicular to $y = \frac{3}{5} x - 3$ and passes though the point $A = (5, 6)$ .	7
179	Find the line that is parallel to $y = \frac{1}{3} x - 1$ and passes though the point $A = (10, 2)$ .	7
180	Find the line that is parallel to $y = - 10 x - 8$ and passes though the point $A = (- 10, - 6)$ .	7
181	Find the line that is perpendicular to $y = 6 x - 2$ and passes though the point $(6, - 2)$ .	7
182	Find the line that is perpendicular to $2 x + 5 y - 70 = 0$ and passes though the point $A = (0, 0)$ .	7
183	Find the line that is parallel to $y = - 9 x + 10$ and passes though the point $A = (- 2, - 1)$ .	7
184	Find the line that is parallel to $y = - 9 x + 7$ and passes though the point $A = (4, - 4)$ .	7
185	Find the line that is parallel to $y = 3 x + 1$ and passes though the point $A = (2, 4)$ .	7
186	Find the line that is parallel to $y = 5 x + 2$ and passes though the point $A = (5, 4)$ .	7
187	Find the line that is parallel to $y = - \frac{5}{8} x - 5$ and passes though the point $A = (5, - 4)$ .	7
188	Find the line that is perpendicular to $y = 4 x - 9$ and passes though the point $A = (- 2, 4)$ .	7
189	Find the line that is parallel to $y = \frac{1}{7} x - 10$ and passes though the point $A = (2, - 1)$ .	7
190	Find the line that is perpendicular to $y = \frac{5}{3} x - 4$ and passes though the point $A = (- 10, - 3)$ .	7
191	Find the line that is parallel to $2 x + y - 2 = 0$ and passes though the point $A = (3, 1)$ .	7
192	Find the line that is perpendicular to $y = \frac{4}{3} x + \frac{3}{2}$ and passes though the point $A = (7, 2)$ .	7
193	Find the line that is perpendicular to $y = 7 x - 9$ and passes though the point $A = (8, - 3)$ .	7
194	Find the line that is parallel to $y = 1.3333 x + 9$ and passes though the point $A = (- 4, - 4)$ .	7
195	Find the line that is parallel to $y = - \frac{1}{2} x + 5$ and passes though the point $A = (- 10, - 4)$ .	7
196	Find the line that is parallel to $x - 6 y = 0$ and passes though the point $A = (3, 1)$ .	7
197	Find the line that is parallel to $x - 2 y - 8 = 0$ and passes though the point $A = (0, 0)$ .	7
198	Find the line that is perpendicular to $y = \frac{1}{5} x + 7$ and passes though the point $A = (- 1, - 3)$ .	7
199	Find the line that is perpendicular to $y = - \frac{1}{2} x + 8$ and passes though the point $A = (4, 7)$ .	7
200	Find the line that is perpendicular to $x - y + 2 = 0$ and passes though the point $(0, 0)$ .	7