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
2001	Find the line that is perpendicular to $ y = - \frac{ 2 }{ 3 } x + 3 $ and passes though the point $ \left(9,~-4\right) $.	2
2002	Find the line that is parallel to $ y = - 7 x + 6 $ and passes though the point $ \left(-8,~4\right) $.	2
2003	Find the line that is perpendicular to $ y = - 7 x + 6 $ and passes though the point $ \left(-8,~4\right) $.	2
2004	Find the line that is parallel to $ y = - x + 10 $ and passes though the point $ \left(1,~5\right) $.	2
2005	Find the line that is parallel to $ y = 7 x + 5 $ and passes though the point $ \left(4,~1\right) $.	2
2006	Find the line that is parallel to $ y = \frac{ 4 }{ 5 } x + 7 $ and passes though the point $ \left(-5,~-10\right) $.	2
2007	Find the line that is perpendicular to $ y = 1.2857 x - 15 $ and passes though the point $ \left(7,~6\right) $.	2
2008	Find the line that is perpendicular to $ y = \frac{ 3 }{ 4 } x - 5 $ and passes though the point $ \left(-8,~6\right) $.	2
2009	Find the line that is perpendicular to $ y = 3 x + 10 $ and passes though the point $ \left(1,~18\right) $.	2
2010	Find the line that is perpendicular to $ y = 9 x + 3 $ and passes though the point $ \left(0,~0\right) $.	2
2011	Find the line that is parallel to $ y = 8 x - 12 $ and passes though the point $ \left(1,~-5\right) $.	2
2012	Find the line that is parallel to $ y = x - 1 $ and passes though the point $ \left(1,~-5\right) $.	2
2013	Find the line that is parallel to $ y = 5 x - 1 $ and passes though the point $ \left(15,~3\right) $.	2
2014	Find the line that is perpendicular to $ y = \frac{ 5 }{ 2 } x - 4 $ and passes though the point $ \left(-3,~5\right) $.	2
2015	Find the line that is parallel to $ y = - 8 x + 5 $ and passes though the point $ \left(2,~-9\right) $.	2
2016	Find the line that is perpendicular to $ y = 0.125 x + 2 $ and passes though the point $ \left(5,~1\right) $.	2
2017	Find the line that is parallel to $ y = 2 x - 1 $ and passes though the point $ \left(1,~8\right) $.	2
2018	Find the line that is parallel to $ y = 3 x + 2 $ and passes though the point $ \left(1,~1\right) $.	2
2019	Find the line that is parallel to $ y = 5 x - 4 $ and passes though the point $ \left(2,~9\right) $.	2
2020	Find the line that is parallel to $ y = 3 x + 7 $ and passes though the point $ \left(4,~15\right) $.	2
2021	Find the line that is parallel to $ y = 6 x + 3 $ and passes though the point $ \left(10,~5\right) $.	2
2022	Find the line that is parallel to $ y = - \frac{ 1 }{ 2 } x + 1 $ and passes though the point $ \left(3,~0\right) $.	2
2023	Find the line that is parallel to $ y+2=0 $ and passes though the point $ \left(-9,~-2\right) $.	2
2024	Find the line that is parallel to $ y = 6 x + 1 $ and passes though the point $ \left(-1,~-3\right) $.	2
2025	Find the line that is parallel to $ y = \frac{ 3 }{ 5 } x - 2 $ and passes though the point $ \left(5,~2\right) $.	2
2026	Find the line that is perpendicular to $ y = - \frac{ 3 }{ 8 } x + 2 $ and passes though the point $ \left(-3,~-3\right) $.	2
2027	Find the line that is parallel to $ y = - 2 x + 3 $ and passes though the point $ \left(-4,~3\right) $.	2
2028	Find the line that is perpendicular to $ y = - x - 3 $ and passes though the point $ \left(1,~-1\right) $.	2
2029	Find the line that is parallel to $ y = \frac{ 5 }{ 2 } x + 3 $ and passes though the point $ \left(2,~0\right) $.	2
2030	Find the line that is perpendicular to $ y = - 10 x + 5 $ and passes though the point $ \left(1,~-6\right) $.	2
2031	Find the line that is perpendicular to $ y = - \frac{ 1 }{ 9 } x + 2 $ and passes though the point $ \left(6,~1\right) $.	2
2032	Find the line that is perpendicular to $ y = 3 x - 12 $ and passes though the point $ \left(1,~-2\right) $.	2
2033	Find the line that is parallel to $ 5x+3y=0 $ and passes though the point $ \left(\dfrac{ 7 }{ 8 },~\dfrac{ 3 }{ 4 }\right) $.	2
2034	Find the line that is perpendicular to $ 5x+3y=0 $ and passes though the point $ \left(\dfrac{ 7 }{ 8 },~\dfrac{ 3 }{ 4 }\right) $.	2
2035	Find the line that is parallel to $ y = - \frac{ 5 }{ 7 } x + 2 $ and passes though the point $ \left(5,~-3\right) $.	2
2036	Find the line that is perpendicular to $ y = 5 x + 4 $ and passes though the point $ \left(6,~2\right) $.	2
2037	Find the line that is perpendicular to $ y = 5 x + 6 $ and passes though the point $ \left(1,~-7\right) $.	2
2038	Find the line that is perpendicular to $ y = - 9 x + 4 $ and passes though the point $ \left(-1,~-10\right) $.	2
2039	Find the line that is perpendicular to $ 3x-2y=0 $ and passes though the point $ \left(-3,~2\right) $.	2
2040	Find the line that is perpendicular to $ 3x-2y=0 $ and passes though the point $ \left(2,~-3\right) $.	2
2041	Find the line that is perpendicular to $ y = x $ and passes though the point $ \left(5,~3\right) $.	2
2042	Find the line that is parallel to $ y = x $ and passes though the point $ \left(-3,~-5\right) $.	2
2043	Find the line that is perpendicular to $ y = - \frac{ 1 }{ 8 } x - 6 $ and passes though the point $ \left(-2,~-11\right) $.	2
2044	Find the line that is parallel to $ y = 2 x - 3 $ and passes though the point $ \left(6,~4\right) $.	2
2045	Find the line that is parallel to $ y = 3 x - 21 $ and passes though the point $ \left(-2,~-7\right) $.	2
2046	Find the line that is perpendicular to $ y = \frac{ 1 }{ 3 } x + 4 $ and passes though the point $ \left(6,~-2\right) $.	2
2047	Find the line that is perpendicular to $ y = - 9 x + 10 $ and passes though the point $ \left(-9,~-7\right) $.	2
2048	Find the line that is perpendicular to $ y = - 3 x - 2 $ and passes though the point $ \left(6,~-2\right) $.	2
2049	Find the line that is perpendicular to $ y = - 4 x + 9 $ and passes though the point $ \left(4,~-4\right) $.	2
2050	Find the line that is perpendicular to $ y = 3 x - 5 $ and passes though the point $ \left(6,~-4\right) $.	2