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
1951	Find the line that is parallel to $ y = - 5 x + 6 $ and passes though the point $ \left(2,~5\right) $.	2
1952	Find the line that is perpendicular to $ y = \frac{ 4 }{ 3 } x + 6 $ and passes though the point $ \left(-4,~-1\right) $.	2
1953	Find the line that is parallel to $ 9x-7y+1=0 $ and passes though the point $ \left(-4,~-1\right) $.	2
1954	Find the line that is perpendicular to $ 9x-7y+1=0 $ and passes though the point $ \left(-4,~-1\right) $.	2
1955	Find the line that is perpendicular to $ y = \frac{ 7 }{ 3 } x + 9 $ and passes though the point $ \left(-7,~4\right) $.	2
1956	Find the line that is parallel to $ y = \frac{ 7 }{ 3 } x + 9 $ and passes though the point $ \left(-7,~4\right) $.	2
1957	Find the line that is parallel to $ y = - \frac{ 7 }{ 3 } x + 9 $ and passes though the point $ \left(-7,~4\right) $.	2
1958	Find the line that is parallel to $ 5x-4y=0 $ and passes though the point $ \left(-8,~2\right) $.	2
1959	Find the line that is parallel to $ 2x+5y=0 $ and passes though the point $ \left(-10,~1\right) $.	2
1960	Find the line that is parallel to $ y = x - 2 $ and passes though the point $ \left(-5,~-1\right) $.	2
1961	Find the line that is perpendicular to $ y = x $ and passes though the point $ \left(10,~7\right) $.	2
1962	Find the line that is perpendicular to $ 2x+y=0 $ and passes though the point $ \left(-2,~2\right) $.	2
1963	Find the line that is perpendicular to $ y = - \frac{ 5 }{ 8 } x - 5 $ and passes though the point $ \left(5,~-4\right) $.	2
1964	Find the line that is parallel to $ y = - \frac{ 3 }{ 4 } x - 5 $ and passes though the point $ \left(4,~2\right) $.	2
1965	Find the line that is perpendicular to $ y = - 5 x + 4 $ and passes though the point $ \left(-4,~-4\right) $.	2
1966	Find the line that is parallel to $ y = - 5 x + 4 $ and passes though the point $ \left(-4,~-4\right) $.	2
1967	Find the line that is perpendicular to $ y = \frac{ 5 }{ 9 } x - 4 $ and passes though the point $ \left(9,~-3\right) $.	2
1968	Find the line that is perpendicular to $ y = \frac{ 1 }{ 2 } x - \frac{ 9 }{ 2 } $ and passes though the point $ \left(-6,~4\right) $.	2
1969	Find the line that is perpendicular to $ y = 3 x - 2 $ and passes though the point $ \left(1,~0\right) $.	2
1970	Find the line that is perpendicular to $ 3x+2y=0 $ and passes though the point $ \left(2,~3\right) $.	2
1971	Find the line that is perpendicular to $ y = \frac{ 2 }{ 5 } x - 4 $ and passes though the point $ \left(4,~7\right) $.	2
1972	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
1973	Find the line that is perpendicular to $ y = \frac{ 1 }{ 2 } x - 2 $ and passes though the point $ \left(0,~3\right) $.	2
1974	Find the line that is perpendicular to $ y = - \frac{ 3 }{ 4 } x + 3 $ and passes though the point $ \left(1,~2\right) $.	2
1975	Find the line that is perpendicular to $ y = - 3 x + 4 $ and passes though the point $ \left(-3,~-7\right) $.	2
1976	Find the line that is perpendicular to $ y = \frac{ 2 }{ 3 } x + 1 $ and passes though the point $ \left(4,~2\right) $.	2
1977	Find the line that is perpendicular to $ y = 5 x $ and passes though the point $ \left(-2,~9\right) $.	2
1978	Find the line that is perpendicular to $ y = - \frac{ 1 }{ 2 } x + 8 $ and passes though the point $ \left(-8,~4\right) $.	2
1979	Find the line that is perpendicular to $ y = \frac{ 1 }{ 3 } x - \frac{ 5 }{ 3 } $ and passes though the point $ \left(-4,~1\right) $.	2
1980	Find the line that is parallel to $ y = 5 x + 4 $ and passes though the point $ \left(7,~1\right) $.	2
1981	Find the line that is parallel to $ y = - 7 x + 3 $ and passes though the point $ \left(9,~3\right) $.	2
1982	Find the line that is parallel to $ y = - \frac{ 3 }{ 4 } x - 3 $ and passes though the point $ \left(6,~2\right) $.	2
1983	Find the line that is perpendicular to $ y = - \frac{ 3 }{ 4 } x - 3 $ and passes though the point $ \left(6,~2\right) $.	2
1984	Find the line that is perpendicular to $ 6x-7y+4=0 $ and passes though the point $ \left(-4,~2\right) $.	2
1985	Find the line that is perpendicular to $ y = - 6 x + 2 $ and passes though the point $ \left(-7,~4\right) $.	2
1986	Find the line that is parallel to $ y = \frac{ 3 }{ 5 } x + 4 $ and passes though the point $ \left(-6,~-4\right) $.	2
1987	Find the line that is parallel to $ y = - \frac{ 5 }{ 9 } x - \frac{ 2 }{ 9 } $ and passes though the point $ \left(1,~5\right) $.	2
1988	Find the line that is perpendicular to $ y = - \frac{ 5 }{ 9 } x - \frac{ 2 }{ 9 } $ and passes though the point $ \left(1,~5\right) $.	2
1989	Find the line that is perpendicular to $ y = - 8 x + 8 $ and passes though the point $ \left(-7,~4\right) $.	2
1990	Find the line that is parallel to $ y = 2 x $ and passes though the point $ \left(1,~-6\right) $.	2
1991	Find the line that is parallel to $ y=0 $ and passes though the point $ \left(1,~-6\right) $.	2
1992	Find the line that is perpendicular to $ y = - \frac{ 2 }{ 3 } x + 1 $ and passes though the point $ \left(-2,~-4\right) $.	2
1993	Find the line that is parallel to $ y = - \frac{ 2 }{ 3 } x + 5 $ and passes though the point $ \left(3,~-1\right) $.	2
1994	Find the line that is parallel to $ y = \frac{ 3 }{ 5 } x + 1 $ and passes though the point $ \left(-1,~-2\right) $.	2
1995	Find the line that is perpendicular to $ y = - \frac{ 1 }{ 6 } x + 2 $ and passes though the point $ \left(-1,~-2\right) $.	2
1996	Find the line that is parallel to $ y = - 2 x + \frac{ 5 }{ 3 } $ and passes though the point $ \left(0,~-4\right) $.	2
1997	Find the line that is parallel to $ 2x+3y+15=0 $ and passes though the point $ \left(-6,~2\right) $.	2
1998	Find the line that is perpendicular to $ 5x+2y+14=0 $ and passes though the point $ \left(3,~1\right) $.	2
1999	Find the line that is parallel to $ y = \frac{ 2 }{ 3 } x - 6 $ and passes though the point $ \left(0,~0\right) $.	2
2000	Find the line that is parallel to $ y = - \frac{ 1 }{ 2 } x + 3 $ and passes though the point $ \left(9,~11\right) $.	2