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.

Select category

ID	Problem	Count
3801	Find the line that is perpendicular to $y = 4 x$ and passes though the point $(3, - 1)$ .	1
3802	Find the line that is perpendicular to $y = - \frac{5}{6} x + \frac{3}{2}$ and passes though the point $(2, 4)$ .	1
3803	Find the line that is perpendicular to $y = \frac{3}{4} x + \frac{11}{4}$ and passes though the point $(1, \frac{7}{2})$ .	1
3804	Find the line that is perpendicular to $3 x - 4 y + 11 = 0$ and passes though the point $(1, \frac{7}{2})$ .	1
3805	Find the line that is perpendicular to $y = 3 x - 9$ and passes though the point $(3, 0)$ .	1
3806	Find the line that is perpendicular to $3 x - 4 y + 11 = 0$ and passes though the point $(1, \frac{7}{2})$ .	1
3807	Find the line that is parallel to $6 x - 8 y - 9 = 0$ and passes though the point $(- 9, - 13)$ .	1
3808	Find the line that is parallel to $y = 3 x + 1$ and passes though the point $(- 1, - 4)$ .	1
3809	Find the line that is perpendicular to $y = \frac{5}{7} x - \frac{3}{2}$ and passes though the point $(- 4, - \frac{5}{2})$ .	1
3810	Find the line that is parallel to $7 x - 4 y + 20 = 0$ and passes though the point $(8, - 6)$ .	1
3811	Find the line that is parallel to $x - y + 8 = 0$ and passes though the point $(- 4, - 3)$ .	1
3812	Find the line that is perpendicular to $y = - \frac{7}{4} x + 8$ and passes though the point $(0, 0)$ .	1
3813	Find the line that is perpendicular to $y = - \frac{3}{8} x + 4$ and passes though the point $(0, 0)$ .	1
3814	Find the line that is perpendicular to $y = - \frac{7}{9} x$ and passes though the point $(0, 0)$ .	1
3815	Find the line that is perpendicular to $y = - \frac{53}{41} x + 58$ and passes though the point $(0, 0)$ .	1
3816	Find the line that is perpendicular to $y = \frac{17}{95} x$ and passes though the point $(0, 0)$ .	1
3817	Find the line that is perpendicular to $y = - \frac{5}{2} x + 1$ and passes though the point $(0, 0)$ .	1
3818	Find the line that is parallel to $y = \frac{3}{7} x + 7$ and passes though the point $(0, 0)$ .	1
3819	Find the line that is perpendicular to $y = \frac{8}{9} x + \frac{9}{5}$ and passes though the point $(0, 0)$ .	1
3820	Find the line that is perpendicular to $y = 3 x - 6$ and passes though the point $(3, 2)$ .	1
3821	Find the line that is parallel to $y = 3 x - 6$ and passes though the point $(3, 2)$ .	1
3822	Find the line that is parallel to $y = \frac{1}{4} x + 2$ and passes though the point $(0, 0)$ .	1
3823	Find the line that is perpendicular to $y = \frac{5}{3} x + \frac{20}{3}$ and passes though the point $(\frac{3}{2}, 0)$ .	1
3824	Find the line that is perpendicular to $y = - \frac{5}{8} x + \frac{15}{16}$ and passes though the point $(- 4, 0)$ .	1
3825	Find the line that is perpendicular to $2 x + 3 y - 9 = 0$ and passes though the point $(0, 0)$ .	1
3826	Find the line that is perpendicular to $y = 2 x - 3$ and passes though the point $(1, 5)$ .	1
3827	Find the line that is perpendicular to $y = 2 x + 3$ and passes though the point $(- 5, - 1)$ .	1
3828	Find the line that is perpendicular to $4 x + 12 y + 5 = 0$ and passes though the point $(0, 0)$ .	1
3829	Find the line that is parallel to $y = 3 x - 4$ and passes though the point $(- 2, - 3)$ .	1
3830	Find the line that is perpendicular to $y = \frac{3}{8} x - \frac{41}{8}$ and passes though the point $(- 3, 2)$ .	1
3831	Find the line that is perpendicular to $y = \frac{9}{2} x + \frac{31}{2}$ and passes though the point $(3, - 4)$ .	1
3832	Find the line that is perpendicular to $y = - x - 1$ and passes though the point $(- 5, - 7)$ .	1
3833	Find the line that is perpendicular to $y = - x + 2$ and passes though the point $(0, 0)$ .	1
3834	Find the line that is parallel to $y = 2 x + 7$ and passes though the point $(0, 1)$ .	1
3835	Find the line that is perpendicular to $y = - \frac{1}{2} x + 5$ and passes though the point $(5, \frac{5}{2})$ .	1
3836	Find the line that is perpendicular to $y = \frac{2}{3} x + \frac{1}{3}$ and passes though the point $(4, \frac{11}{2})$ .	1
3837	Find the line that is perpendicular to $y = 3 x - 16$ and passes though the point $(\frac{13}{2}, \frac{7}{2})$ .	1
3838	Find the line that is perpendicular to $y = - \frac{1}{2} x + 5$ and passes though the point $(6, 2)$ .	1
3839	Find the line that is perpendicular to $y = \frac{2}{3} x + \frac{1}{3}$ and passes though the point $(4, 3)$ .	1
3840	Find the line that is perpendicular to $y = 3 x - 16$ and passes though the point $(7, 5)$ .	1
3841	Find the line that is perpendicular to $2 x - y - 5 = 0$ and passes though the point $(- 8, 5)$ .	1
3842	Find the line that is perpendicular to $5 x - 3 y - 18 = 0$ and passes though the point $(- 5, - 3)$ .	1
3843	Find the line that is parallel to $x - y - 5 = 0$ and passes though the point $(- 1, - 4)$ .	1
3844	Find the line that is parallel to $x - 2 y - 6 = 0$ and passes though the point $(2, 5)$ .	1
3845	Find the line that is parallel to $3 x + 5 y - 20 = 0$ and passes though the point $(- 5, - 1)$ .	1
3846	Find the line that is parallel to $x - 2 y - 18 = 0$ and passes though the point $(- 8, - 1)$ .	1
3847	Find the line that is parallel to $4 x - 3 y - 3 = 0$ and passes though the point $(- 3, - 6)$ .	1
3848	Find the line that is perpendicular to $x + 4 y - 8 = 0$ and passes though the point $(2, 6)$ .	1
3849	Find the line that is parallel to $y = - \frac{1}{7} x + \frac{10}{7}$ and passes though the point $(- 7, 3)$ .	1
3850	Find the line that is parallel to $y = \frac{4}{7} x + \frac{87}{7}$ and passes though the point $(3, 2)$ .	1