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
101	Find the line that is parallel to $x + 1 = 0$ and passes though the point $A = (9, 9)$ .	10
102	Find the line that is perpendicular to $y = \frac{1}{3} x - 5$ and passes though the point $A = (- 2, 9)$ .	10
103	Find the line that is parallel to $y = 2 x + 4$ and passes though the point $A = (- 4, - 1)$ .	10
104	Find the line that is parallel to $y = - x + 4$ and passes though the point $A = (- 2, 3)$ .	10
105	Find the line that is parallel to $y = \frac{3}{5} x + \frac{4}{5}$ and passes though the point $A = (1, - 1)$ .	10
106	Find the line that is parallel to $6 x + 9 y + 1 = 0$ and passes though the point $A = (4, 1)$ .	10
107	Find the line that is perpendicular to $y = - \frac{10}{9} x - 3$ and passes though the point $A = (2, 3)$ .	10
108	Find the line that is parallel to $y = - x + 1$ and passes though the point $(0, - 4)$ .	10
109	Find the line that is parallel to $y = - \frac{9}{7} x - 5$ and passes though the point $A = (9, 6)$ .	10
110	Find the line that is parallel to $y = 4 x - 1$ and passes though the point $(- 4, - 4)$ .	10
111	Find the line that is perpendicular to $y = - \frac{1}{5} x - 3$ and passes though the point $A = (1, - 5)$ .	10
112	Find the line that is perpendicular to $y = - x$ and passes though the point $(8, - 4)$ .	10
113	Find the line that is parallel to $y = 7 x - 5$ and passes though the point $A = (8, - 4)$ .	10
114	Find the line that is parallel to $y = - \frac{9}{8} x - 9$ and passes though the point $A = (- 8, - 3)$ .	9
115	Find the line that is parallel to $y = - \frac{10}{9} x + 2$ and passes though the point $A = (9, - 3)$ .	9
116	Find the line that is parallel to $y = - 4 x + 3$ and passes though the point $A = (5, 6)$ .	9
117	Find the line that is perpendicular to $y = - 4 x + 3$ and passes though the point $A = (5, 6)$ .	9
118	Find the line that is perpendicular to $y = - 2 x + 1$ and passes though the point $(8, 2)$ .	9
119	Find the line that is perpendicular to $3 x + 2 y + 6 = 0$ and passes though the point $A = (0, 0)$ .	9
120	Find the line that is perpendicular to $y = \frac{4}{3} x - 2$ and passes though the point $A = (- 2, 2)$ .	9
121	Find the line that is parallel to $y = \frac{1}{3} x - 2$ and passes though the point $A = (3, - 5)$ .	9
122	Find the line that is perpendicular to $y = 4 x + 3$ and passes though the point $(- 2, - 3)$ .	9
123	Find the line that is perpendicular to $y = - 2$ and passes though the point $A = (- 1, - 2)$ .	9
124	Find the line that is perpendicular to $y = - 6 x - 3$ and passes though the point $A = (3, - 3)$ .	9
125	Find the line that is parallel to $y = 45 x$ and passes though the point $A = (0, 0)$ .	9
126	Find the line that is perpendicular to $y = - \frac{5}{8} x - 5$ and passes though the point $A = (5, - 4)$ .	9
127	Find the line that is perpendicular to $y = 6 x + 3$ and passes though the point $A = (12, - 4)$ .	9
128	Find the line that is parallel to $y = - 6 x + 56$ and passes though the point $A = (2, - 3)$ .	9
129	Find the line that is parallel to $y = \frac{1}{2} x - 6$ and passes though the point $(- 4, - 5)$ .	9
130	Find the line that is perpendicular to $y = \frac{7}{4} x + 2$ and passes though the point $A = (2, - 2)$ .	9
131	Find the line that is perpendicular to $y = \frac{1}{10} x + \frac{71}{20}$ and passes though the point $(- 1, 3)$ .	9
132	Find the line that is perpendicular to $y = 5 x - 3$ and passes though the point $A = (- 3, - 6)$ .	9
133	Find the line that is perpendicular to $y = - \frac{8}{7} x - 3$ and passes though the point $A = (8, 3)$ .	8
134	Find the line that is perpendicular to $y = - \frac{1}{9} x + 5$ and passes though the point $(3, 6)$ .	8
135	Find the line that is parallel to $y = \frac{1}{8} x + 7$ and passes though the point $A = (- 3, - 1)$ .	8
136	Find the line that is parallel to $y = \frac{3}{5} x + \frac{2}{5}$ and passes though the point $A = (2, 1)$ .	8
137	Find the line that is perpendicular to $y = \frac{1}{4} x + 1$ and passes though the point $A = (8, - 6)$ .	8
138	Find the line that is parallel to $y = 4 x + 1$ and passes though the point $(1, 1)$ .	8
139	Find the line that is parallel to $y = 2 x + 3$ and passes though the point $(2, 4)$ .	8
140	Find the line that is parallel to $y = x + 3$ and passes though the point $A = (3, 1)$ .	8
141	Find the line that is perpendicular to $y = \frac{8}{3} x - 1$ and passes though the point $A = (8, - 7)$ .	8
142	Find the line that is perpendicular to $y = - \frac{4}{9} x - 2$ and passes though the point $(3, 5)$ .	8
143	Find the line that is parallel to $y = 4 x + 1$ and passes though the point $(- 2, - 5)$ .	8
144	Find the line that is parallel to $y = \frac{1}{4} x - \frac{17}{4}$ and passes though the point $A = (5, - 3)$ .	8
145	Find the line that is perpendicular to $y = - 8 x + 9$ and passes though the point $A = (- 3, 4)$ .	8
146	Find the line that is perpendicular to $y = \frac{1}{6} x + 7$ and passes though the point $(2, 6)$ .	8
147	Find the line that is perpendicular to $y = x + \frac{2}{7}$ and passes though the point $A = (7, - 2)$ .	8
148	Find the line that is perpendicular to $y = 2 x - 2$ and passes though the point $A = (- 1, - 2)$ .	8
149	Find the line that is parallel to $y = - 3 x - 9$ and passes though the point $A = (6, - 3)$ .	8
150	Find the line that is parallel to $y = - 5 x + 3$ and passes though the point $A = (2, - 6)$ .	8