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
3951	Find the line that is parallel to $y = - \frac{3}{2} x - \frac{2}{5}$ and passes though the point $A = (0, 0)$ .	1
3952	Find the line that is perpendicular to $y = - \frac{3}{2} x - \frac{2}{5}$ and passes though the point $A = (0, 0)$ .	1
3953	Find the line that is perpendicular to $y = 6 x - 7$ and passes though the point $A = (0, 0)$ .	1
3954	Find the line that is perpendicular to $x - 2 y = 0$ and passes though the point $A = (0, 0)$ .	1
3955	Find the line that is perpendicular to $y = - \frac{12813}{25000} x + 1547.3869$ and passes though the point $A = (1237, 1141)$ .	1
3956	Find the line that is perpendicular to $3 x + 4 y - 19 = 0$ and passes though the point $A = (2, 3)$ .	1
3957	Find the line that is perpendicular to $y = \frac{1}{2} x - 2$ and passes though the point $A = (4, - 4)$ .	1
3958	Find the line that is perpendicular to $4 x + 5 y + 1 = 0$ and passes though the point $A = (0, 0)$ .	1
3959	Find the line that is parallel to $3 x - 5 y - 4 = 0$ and passes though the point $A = (0, 0)$ .	1
3960	Find the line that is perpendicular to $3 x - 5 y - 4 = 0$ and passes though the point $A = (0, 0)$ .	1
3961	Find the line that is perpendicular to $y = - \frac{1}{3} x + 4$ and passes though the point $A = (- 4, 3)$ .	1
3962	Find the line that is perpendicular to $y = - \frac{1}{2} x + 4$ and passes though the point $A = (- 2, 1)$ .	1
3963	Find the line that is parallel to $y = x + 7$ and passes though the point $A = (- 2, - 1)$ .	1
3964	Find the line that is parallel to $y = 2 x + 3$ and passes though the point $A = (3, 3)$ .	1
3965	Find the line that is parallel to $y = - 6 x + 8$ and passes though the point $A = (1, - 7)$ .	1
3966	Find the line that is parallel to $y = \frac{5}{2} x + 2$ and passes though the point $A = (- 5, - 2)$ .	1
3967	Find the line that is parallel to $y = \frac{5}{3} x + \frac{8}{3}$ and passes though the point $A = (- 5, - 3)$ .	1
3968	Find the line that is perpendicular to $y = \frac{5}{3} x + \frac{8}{3}$ and passes though the point $A = (- 5, - 3)$ .	1
3969	Find the line that is parallel to $y = 8 x - 2$ and passes though the point $A = (- 7, 3)$ .	1
3970	Find the line that is perpendicular to $y = 8 x - 2$ and passes though the point $A = (- 7, 3)$ .	1
3971	Find the line that is perpendicular to $y = 3 x$ and passes though the point $A = (- 2, 6)$ .	1
3972	Find the line that is parallel to $y = 4 x - 1$ and passes though the point $A = (- 3, 2)$ .	1
3973	Find the line that is parallel to $y = \frac{7}{2} x - 4$ and passes though the point $A = (0, 0)$ .	1
3974	Find the line that is parallel to $y = \frac{1}{4} x + 5$ and passes though the point $A = (0, 2)$ .	1
3975	Find the line that is perpendicular to $y = - \frac{4}{3} x$ and passes though the point $A = (0, 0)$ .	1
3976	Find the line that is parallel to $y = 0$ and passes though the point $A = (0, 0)$ .	1
3977	Find the line that is parallel to $y = \frac{3}{5} x$ and passes though the point $A = (1, - 1)$ .	1
3978	Find the line that is parallel to $y = x$ and passes though the point $A = (- 5, - 10)$ .	1
3979	Find the line that is parallel to $y = 5 x + 1$ and passes though the point $A = (- 1, 3)$ .	1
3980	Find the line that is parallel to $y = 3 x - 6$ and passes though the point $A = (- 3, - 6)$ .	1
3981	Find the line that is parallel to $y = - 5 x + 6$ and passes though the point $A = (- 5, - 2)$ .	1
3982	Find the line that is perpendicular to $y = \frac{1}{2} x - \frac{7}{2}$ and passes though the point $A = (5, - 6)$ .	1
3983	Find the line that is perpendicular to $y = - \frac{8}{9} x + \frac{71}{9}$ and passes though the point $A = (- 6, 7)$ .	1
3984	Find the line that is perpendicular to $y = - \frac{8}{9} x + \frac{71}{9}$ and passes though the point $A = (3, - 1)$ .	1
3985	Find the line that is perpendicular to $2 x - 3 = 0$ and passes though the point $A = (1, - 4)$ .	1
3986	Find the line that is parallel to $y = - 4 x + 1$ and passes though the point $A = (2, 2)$ .	1
3987	Find the line that is parallel to $x + 4 y = 0$ and passes though the point $A = (7, 1)$ .	1
3988	Find the line that is parallel to $y = 0$ and passes though the point $(0, 0)$ .	1
3989	Find the line that is perpendicular to $y = 10 x$ and passes though the point $(- 10, - 6)$ .	1
3990	Find the line that is parallel to $y = 9 x + 15$ and passes though the point $(2, 5)$ .	1
3991	Find the line that is parallel to $y = - \frac{4}{3} x - 3$ and passes though the point $(8, 2)$ .	1
3992	Find the line that is perpendicular to $y = - \frac{4}{3} x - 3$ and passes though the point $(8, 2)$ .	1
3993	Find the line that is perpendicular to $y = - 7 x + 6$ and passes though the point $(4, - 4)$ .	1
3994	Find the line that is perpendicular to $y = - \frac{9}{7} x - 3$ and passes though the point $(9, 4)$ .	1
3995	Find the line that is perpendicular to $y = \frac{1}{2} x - 5$ and passes though the point $(2, - 1)$ .	1
3996	Find the line that is perpendicular to $y = 6 x - 1$ and passes though the point $(8, - 3)$ .	1
3997	Find the line that is perpendicular to $y = - 7 x + 5$ and passes though the point $(- 5, - 2)$ .	1
3998	Find the line that is parallel to $y = 0$ and passes though the point $(0, 0)$ .	1
3999	Find the line that is perpendicular to $y = - \frac{1}{6} x + 1$ and passes though the point $(- 1, 2)$ .	1
4000	Find the line that is parallel to $y = - \frac{8}{3} x + 16$ and passes though the point $(24, - 15)$ .	1