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
3901	Find the line that is parallel to $y = \frac{3}{2} x$ and passes though the point $A = (- 2, 7)$ .	1
3902	Find the line that is perpendicular to $y = \frac{3}{2} x$ and passes though the point $A = (- 2, 7)$ .	1
3903	Find the line that is perpendicular to $y = \frac{2}{3} x$ and passes though the point $A = (- 2, 7)$ .	1
3904	Find the line that is perpendicular to $y = \frac{8}{7} x + 7$ and passes though the point $A = (- 7, - 3)$ .	1
3905	Find the line that is parallel to $y = \frac{8}{7} x + 7$ and passes though the point $A = (- 7, - 3)$ .	1
3906	Find the line that is parallel to $y = - \frac{4}{3} x + 1$ and passes though the point $A = (- 3, - 5)$ .	1
3907	Find the line that is perpendicular to $y = \frac{1}{3} x + 3$ and passes though the point $A = (4, 1)$ .	1
3908	Find the line that is parallel to $y = 8 x + 9$ and passes though the point $A = (0, 0)$ .	1
3909	Find the line that is perpendicular to $y = - 2 x + 9$ and passes though the point $A = (1, 7)$ .	1
3910	Find the line that is perpendicular to $y = - \frac{1}{4} x + 3$ and passes though the point $A = (- 3, - 5)$ .	1
3911	Find the line that is parallel to $y = 2 x + 4$ and passes though the point $A = (4, 3)$ .	1
3912	Find the line that is perpendicular to $y = - 2 x - 1$ and passes though the point $A = (4, 7)$ .	1
3913	Find the line that is parallel to $y = - \frac{1}{3} x + 2$ and passes though the point $A = (- 5, 1)$ .	1
3914	Find the line that is perpendicular to $7 x + 5 y + 3 = 0$ and passes though the point $A = (2, 5)$ .	1
3915	Find the line that is perpendicular to $y = - \frac{4}{5} x - 9$ and passes though the point $A = (- 5, 5)$ .	1
3916	Find the line that is perpendicular to $y = - 5 x + 9$ and passes though the point $A = (- 8, 5)$ .	1
3917	Find the line that is parallel to $y = - \frac{4}{5} x - 9$ and passes though the point $A = (- 5, 5)$ .	1
3918	Find the line that is perpendicular to $y = \frac{5}{9} x - 3$ and passes though the point $A = (5, 5)$ .	1
3919	Find the line that is parallel to $y = 8 x - 3$ and passes though the point $A = (5, - 4)$ .	1
3920	Find the line that is perpendicular to $y = \frac{5}{2} x - 1$ and passes though the point $A = (5, - 5)$ .	1
3921	Find the line that is parallel to $y = 0$ and passes though the point $A = (0, 0)$ .	1
3922	Find the line that is parallel to $y = - \frac{3}{7} x$ and passes though the point $A = (- 7, 4)$ .	1
3923	Find the line that is perpendicular to $y = - 2 x + 5$ and passes though the point $A = (1, 3)$ .	1
3924	Find the line that is parallel to $y = \frac{3}{5} x - 1$ and passes though the point $A = (10, 2)$ .	1
3925	Find the line that is perpendicular to $y = \frac{1}{2} x + 7$ and passes though the point $A = (1, 3)$ .	1
3926	Find the line that is perpendicular to $y = - 3 x + 6$ and passes though the point $A = (2, 0)$ .	1
3927	Find the line that is perpendicular to $y = - \frac{3}{5} x + 2$ and passes though the point $A = (7, - 6)$ .	1
3928	Find the line that is parallel to $y = 2 x + 6$ and passes though the point $A = (- 2, 9)$ .	1
3929	Find the line that is perpendicular to $y = - \frac{5}{4} x + 6$ and passes though the point $A = (- 5, - 2)$ .	1
3930	Find the line that is parallel to $y = - 8 x + 4$ and passes though the point $A = (0, 5)$ .	1
3931	Find the line that is perpendicular to $8 x - y + 2 = 0$ and passes though the point $A = (5, 4)$ .	1
3932	Find the line that is parallel to $y = 4 x$ and passes though the point $A = (- 5, - 2)$ .	1
3933	Find the line that is perpendicular to $y = \frac{4}{3} x$ and passes though the point $A = (4, 2)$ .	1
3934	Find the line that is perpendicular to $y = \frac{1}{3} x + 2$ and passes though the point $A = (- 5, 4)$ .	1
3935	Find the line that is perpendicular to $y = - \frac{3}{7} x - 4$ and passes though the point $A = (2, 4)$ .	1
3936	Find the line that is parallel to $y = \frac{1}{4} x + 8$ and passes though the point $A = (6, - 3)$ .	1
3937	Find the line that is parallel to $y = - 4 x + 1$ and passes though the point $A = (- 6, 1)$ .	1
3938	Find the line that is parallel to $y = 8 x - 2$ and passes though the point $A = (- 1, - 2)$ .	1
3939	Find the line that is parallel to $y = \frac{1}{7}$ and passes though the point $A = (- 1, - 2)$ .	1
3940	Find the line that is parallel to $y = x + \frac{2}{7}$ and passes though the point $A = (7, - 2)$ .	1
3941	Find the line that is perpendicular to $y = - 5 x - 27$ and passes though the point $A = (- 10, - 3)$ .	1
3942	Find the line that is perpendicular to $y = - \frac{1}{2} x - \frac{1}{2}$ and passes though the point $A = (7, 6)$ .	1
3943	Find the line that is parallel to $y = - \frac{4}{5} x + \frac{8}{5}$ and passes though the point $A = (7, - 6)$ .	1
3944	Find the line that is perpendicular to $y = \frac{3}{4} x + 9$ and passes though the point $A = (- 8, - 5)$ .	1
3945	Find the line that is parallel to $y = 2 x - \frac{8}{9}$ and passes though the point $A = (7, 9)$ .	1
3946	Find the line that is perpendicular to $y = - \frac{1}{3} x - 2$ and passes though the point $A = (3, 9)$ .	1
3947	Find the line that is parallel to $y = \frac{9}{5} x + 39$ and passes though the point $A = (- 2, - 5)$ .	1
3948	Find the line that is perpendicular to $y = - \frac{4}{9} x + 5$ and passes though the point $A = (36, 0)$ .	1
3949	Find the line that is perpendicular to $y = - \frac{2}{3} x + 8$ and passes though the point $A = (4, - 5)$ .	1
3950	Find the line that is perpendicular to $y = x + \frac{2}{7}$ and passes though the point $A = (7, - 2)$ .	1