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
1901	Find the line that is parallel to $ y = - 5 x + 3 $ and passes though the point $ \left(4,~0\right) $.	2
1902	Find the line that is perpendicular to $ 2x+y=0 $ and passes though the point $ \left(1,~1\right) $.	2
1903	Find the line that is parallel to $ y = \frac{ 1 }{ 3 } x - 4 $ and passes though the point $ \left(6,~6\right) $.	2
1904	Find the line that is parallel to $ y = 2 x - 11 $ and passes though the point $ \left(2,~-2\right) $.	2
1905	Find the line that is parallel to $ y = - 6 x + 1 $ and passes though the point $ \left(1,~-1\right) $.	2
1906	Find the line that is parallel to $ y = - \frac{ 1 }{ 4 } x - 1 $ and passes though the point $ \left(-3,~-1\right) $.	2
1907	Find the line that is perpendicular to $ y = - \frac{ 1 }{ 4 } x - 1 $ and passes though the point $ \left(-3,~-1\right) $.	2
1908	Find the line that is parallel to $ y = \frac{ 3 }{ 2 } x + 7 $ and passes though the point $ \left(-3,~6\right) $.	2
1909	Find the line that is perpendicular to $ y = x + 7 $ and passes though the point $ \left(-3,~6\right) $.	2
1910	Find the line that is perpendicular to $ y = \frac{ 7 }{ 2 } x - 8 $ and passes though the point $ \left(7,~-5\right) $.	2
1911	Find the line that is parallel to $ y = 2 x + 7 $ and passes though the point $ \left(4,~7\right) $.	2
1912	Find the line that is perpendicular to $ y = \frac{ 7 }{ 5 } x - 2 $ and passes though the point $ \left(5,~-2\right) $.	2
1913	Find the line that is parallel to $ y = - \frac{ 8 }{ 9 } x + 1 $ and passes though the point $ \left(2,~-9\right) $.	2
1914	Find the line that is perpendicular to $ y = - \frac{ 12 }{ 7 } x + 24 $ and passes though the point $ \left(10,~-5\right) $.	2
1915	Find the line that is parallel to $ y = 2 x + 1 $ and passes though the point $ \left(-2,~1\right) $.	2
1916	Find the line that is parallel to $ y = x $ and passes though the point $ \left(-2,~-9\right) $.	2
1917	Find the line that is parallel to $ y = x $ and passes though the point $ \left(7,~2\right) $.	2
1918	Find the line that is perpendicular to $ y = 4 x + 10 $ and passes though the point $ \left(10,~4\right) $.	2
1919	Find the line that is parallel to $ y = - \frac{ 5 }{ 2 } x + 3 $ and passes though the point $ \left(-5,~5\right) $.	2
1920	Find the line that is perpendicular to $ y = - \frac{ 5 }{ 2 } x + 3 $ and passes though the point $ \left(-5,~5\right) $.	2
1921	Find the line that is perpendicular to $ y = - \frac{ 1 }{ 3 } x + 12 $ and passes though the point $ \left(-8,~2\right) $.	2
1922	Find the line that is perpendicular to $ y = 4 x + 2 $ and passes though the point $ \left(-3,~5\right) $.	2
1923	Find the line that is perpendicular to $ y = - \frac{ 1 }{ 3 } x + 2 $ and passes though the point $ \left(-2,~4\right) $.	2
1924	Find the line that is parallel to $ y = \frac{ 5 }{ 6 } x + 2 $ and passes though the point $ \left(-1,~6\right) $.	2
1925	Find the line that is perpendicular to $ y = \frac{ 1 }{ 8 } x - \frac{ 7 }{ 8 } $ and passes though the point $ \left(-1,~12\right) $.	2
1926	Find the line that is parallel to $ y = - 3 x + 4 $ and passes though the point $ \left(-2,~5\right) $.	2
1927	Find the line that is perpendicular to $ y = \frac{ 4 }{ 5 } x - 3 $ and passes though the point $ \left(0,~0\right) $.	2
1928	Find the line that is perpendicular to $ y = - x - 5 $ and passes though the point $ \left(7,~5\right) $.	2
1929	Find the line that is perpendicular to $ y = 7 x + 3 $ and passes though the point $ \left(-2,~5\right) $.	2
1930	Find the line that is perpendicular to $ y = - \frac{ 4 }{ 5 } x + \frac{ 4 }{ 3 } $ and passes though the point $ \left(3,~2\right) $.	2
1931	Find the line that is parallel to $ y = - 5 x + 1 $ and passes though the point $ \left(7,~6\right) $.	2
1932	Find the line that is perpendicular to $ y = - 5 x + 1 $ and passes though the point $ \left(7,~6\right) $.	2
1933	Find the line that is parallel to $ y = \frac{ 2 }{ 3 } x - 3 $ and passes though the point $ \left(-10,~-1\right) $.	2
1934	Find the line that is parallel to $ y = 3 x - 9 $ and passes though the point $ \left(-7,~-3\right) $.	2
1935	Find the line that is parallel to $ y = - \frac{ 2 }{ 3 } x + \frac{ 3 }{ 2 } $ and passes though the point $ \left(4,~-7\right) $.	2
1936	Find the line that is parallel to $ x+1.3333y+4=0 $ and passes though the point $ \left(-2,~-2\right) $.	2
1937	Find the line that is perpendicular to $ y = 5 x + 4 $ and passes though the point $ \left(5,~4\right) $.	2
1938	Find the line that is parallel to $ y = - 4 x - 8 $ and passes though the point $ \left(-4,~8\right) $.	2
1939	Find the line that is perpendicular to $ 3x+y+11=0 $ and passes though the point $ \left(2,~1\right) $.	2
1940	Find the line that is parallel to $ y = \frac{ 3 }{ 8 } x - 1 $ and passes though the point $ \left(0,~0\right) $.	2
1941	Find the line that is perpendicular to $ y = \frac{ 3 }{ 8 } x - 1 $ and passes though the point $ \left(0,~0\right) $.	2
1942	Find the line that is perpendicular to $ y = - \frac{ 3 }{ 2 } x + \frac{ 1 }{ 4 } $ and passes though the point $ \left(0,~0\right) $.	2
1943	Find the line that is perpendicular to $ y = 2 x + 3 $ and passes though the point $ \left(4,~2\right) $.	2
1944	Find the line that is parallel to $ y = - 2 x + 6 $ and passes though the point $ \left(0,~0\right) $.	2
1945	Find the line that is perpendicular to $ y = \frac{ 5 }{ 2 } x - 3 $ and passes though the point $ \left(5,~-4\right) $.	2
1946	Find the line that is perpendicular to $ y = - 9 x + 8 $ and passes though the point $ \left(-8,~2\right) $.	2
1947	Find the line that is parallel to $ y = 4 x - 1 $ and passes though the point $ \left(2,~-3\right) $.	2
1948	Find the line that is perpendicular to $ y = \frac{ 1 }{ 3 } x + 5 $ and passes though the point $ \left(6,~-2\right) $.	2
1949	Find the line that is perpendicular to $ y = - \frac{ 1 }{ 6 } x + 7 $ and passes though the point $ \left(0,~3\right) $.	2
1950	Find the line that is parallel to $ y = x $ and passes though the point $ \left(1,~3\right) $.	2