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
3851	Find the line that is perpendicular to $y = - \frac{1}{4} x + \frac{17}{4}$ and passes though the point $(0, 0)$ .	1
3852	Find the line that is perpendicular to $y = 3$ and passes though the point $(- 2, - 8)$ .	1
3853	Find the line that is perpendicular to $y = \frac{4}{5} x + 23$ and passes though the point $(- 40, 20)$ .	1
3854	Find the line that is perpendicular to $y = - \frac{1}{5} x + 9$ and passes though the point $(- 2, 2)$ .	1
3855	Find the line that is perpendicular to $y = 2 x + 4$ and passes though the point $(4, - 1)$ .	1
3856	Find the line that is perpendicular to $y = 3 x + 5$ and passes though the point $(\frac{3}{4}, 4)$ .	1
3857	Find the line that is perpendicular to $y = x + 3$ and passes though the point $(1, 2)$ .	1
3858	Find the line that is perpendicular to $y = x - 3$ and passes though the point $(1, 2)$ .	1
3859	Find the line that is perpendicular to $y = \frac{1}{7} x - 7$ and passes though the point $(- 7, 4)$ .	1
3860	Find the line that is perpendicular to $y = \frac{5}{7} x + \frac{6}{7}$ and passes though the point $(6, - 2)$ .	1
3861	Find the line that is parallel to $y = \frac{5}{4} x + 8$ and passes though the point $(- 4, - 6)$ .	1
3862	Find the line that is perpendicular to $y = \frac{5}{4} x + 8$ and passes though the point $(- 4, - 6)$ .	1
3863	Find the line that is perpendicular to $y = 5 x - 6$ and passes though the point $(- 3, 5)$ .	1
3864	Find the line that is parallel to $y = 5 x - 6$ and passes though the point $(- 3, 5)$ .	1
3865	Find the line that is perpendicular to $y = \frac{1}{4} x + 5$ and passes though the point $(5, - 3)$ .	1
3866	Find the line that is perpendicular to $y = x + 1$ and passes though the point $(4, 4)$ .	1
3867	Find the line that is perpendicular to $y = - x + 4$ and passes though the point $(2, 4)$ .	1
3868	Find the line that is parallel to $x + y = 0$ and passes though the point $(6, 4)$ .	1
3869	Find the line that is parallel to $y = - 6 x + 2$ and passes though the point $(- 2, - 1)$ .	1
3870	Find the line that is parallel to $y = \frac{1}{3} x + \frac{32}{3}$ and passes though the point $(- 4, - 3)$ .	1
3871	Find the line that is parallel to $y = - \frac{5}{6} x + 5$ and passes though the point $(9, - 4)$ .	1
3872	Find the line that is perpendicular to $y = 8 x + 4$ and passes though the point $(4, - 1)$ .	1
3873	Find the line that is perpendicular to $y = 5 x + 5$ and passes though the point $(5, 3)$ .	1
3874	Find the line that is perpendicular to $y = \frac{1}{3} x + 3$ and passes though the point $(- 4, 3)$ .	1
3875	Find the line that is perpendicular to $y = - 6 x - \frac{26}{3}$ and passes though the point $(2, - 4)$ .	1
3876	Find the line that is parallel to $y = - 7 x + 41$ and passes though the point $(5, 6)$ .	1
3877	Find the line that is perpendicular to $y = - 2 x + 2$ and passes though the point $(1, 2)$ .	1
3878	Find the line that is parallel to $y = - 4 x + 3$ and passes though the point $(1, 1)$ .	1
3879	Find the line that is perpendicular to $y = - 4 x + 3$ and passes though the point $(1, 1)$ .	1
3880	Find the line that is parallel to $y = 3 x - 7$ and passes though the point $(- 4, - 6)$ .	1
3881	Find the line that is perpendicular to $y = - \frac{1}{8} x + 4$ and passes though the point $(2, 3)$ .	1
3882	Find the line that is perpendicular to $y = - 6 x - 4$ and passes though the point $(- 1, 4)$ .	1
3883	Find the line that is perpendicular to $y = 4 x + 5$ and passes though the point $(4, 16)$ .	1
3884	Find the line that is perpendicular to $y = - \frac{1}{2} x + 4$ and passes though the point $(2, 3)$ .	1
3885	Find the line that is perpendicular to $y = - \frac{3}{2} x + 4$ and passes though the point $(6, - 2)$ .	1
3886	Find the line that is perpendicular to $y = \frac{1}{2} x + 3$ and passes though the point $(3, 6)$ .	1
3887	Find the line that is parallel to $y = \frac{4}{3} x - 1$ and passes though the point $(- 3, - 6)$ .	1
3888	Find the line that is perpendicular to $y = 6 x + 28$ and passes though the point $(4, - 27)$ .	1
3889	Find the line that is parallel to $y = 6 x + 28$ and passes though the point $(4, - 27)$ .	1
3890	Find the line that is parallel to $y = - 6 x + 4$ and passes though the point $(4, - 27)$ .	1
3891	Find the line that is parallel to $y = - 3 x - 4$ and passes though the point $(2, - 3)$ .	1
3892	Find the line that is parallel to $y = - \frac{1}{2} x + 1$ and passes though the point $(5, - 6)$ .	1
3893	Find the line that is parallel to $y = - \frac{1}{2} x + 1$ and passes though the point $(6, - 5)$ .	1
3894	Find the line that is perpendicular to $y = - \frac{1}{2} x + 1$ and passes though the point $(6, - 5)$ .	1
3895	Find the line that is parallel to $x = 0$ and passes though the point $(3, - 4)$ .	1
3896	Find the line that is perpendicular to $y = 2 x + 4$ and passes though the point $(4, 2)$ .	1
3897	Find the line that is perpendicular to $y = \frac{4}{3} x - 3$ and passes though the point $(4, 1)$ .	1
3898	Find the line that is parallel to $y = - \frac{4}{5} x - 4$ and passes though the point $(- 2, - 4)$ .	1
3899	Find the line that is parallel to $y = \frac{4}{3} x + 3$ and passes though the point $(4, 1)$ .	1
3900	Find the line that is perpendicular to $y = \frac{4}{3} x + 3$ and passes though the point $(4, 1)$ .	1