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
2951	Find the line that is parallel to $ y = - x + 4 $ and passes though the point $ \left(-2,~3\right) $.	2
2952	Find the line that is parallel to $ y = \frac{ 1 }{ 2 } x - 6 $ and passes though the point $ \left(-4,~-5\right) $.	2
2953	Find the line that is parallel to $ 5x-4y-4=0 $ and passes though the point $ \left(-8,~2\right) $.	2
2954	Find the line that is parallel to $ 2x-5y-15=0 $ and passes though the point $ \left(-10,~1\right) $.	2
2955	Find the line that is parallel to $ y = x + 4 $ and passes though the point $ \left(-5,~-1\right) $.	2
2956	Find the line that is parallel to $ y = - \frac{ 7 }{ 5 } x - 5 $ and passes though the point $ \left(7,~3\right) $.	2
2957	Find the line that is perpendicular to $ y = - \frac{ 7 }{ 5 } x - 5 $ and passes though the point $ \left(7,~3\right) $.	2
2958	Find the line that is parallel to $ y = \frac{ 2 }{ 3 } x $ and passes though the point $ \left(0,~-9\right) $.	2
2959	Find the line that is parallel to $ y = x + 3 $ and passes though the point $ \left(0,~-4\right) $.	2
2960	Find the line that is parallel to $ y = \frac{ 7 }{ 6 } x - 4 $ and passes though the point $ \left(0,~0\right) $.	2
2961	Find the line that is parallel to $ y = - x + 5 $ and passes though the point $ \left(-2,~2\right) $.	2
2962	Find the line that is perpendicular to $ y = 3 x - 7 $ and passes though the point $ \left(6,~8\right) $.	2
2963	Find the line that is perpendicular to $ y = 3 x + 1 $ and passes though the point $ \left(2,~1\right) $.	2
2964	Find the line that is parallel to $ y = 13 x - 4 $ and passes though the point $ \left(9,~12\right) $.	2
2965	Find the line that is parallel to $ y = - 6 x + 5 $ and passes though the point $ \left(4,~4\right) $.	2
2966	Find the line that is perpendicular to $ x-1.3333y-0.6667=0 $ and passes though the point $ \left(3,~6\right) $.	2
2967	Find the line that is parallel to $ y = - x + 1 $ and passes though the point $ \left(-1,~5\right) $.	2
2968	Find the line that is parallel to $ y = 4 x + 15 $ and passes though the point $ \left(0,~0\right) $.	2
2969	Find the line that is parallel to $ y = 4 x + 15 $ and passes though the point $ \left(1,~1\right) $.	2
2970	Find the line that is perpendicular to $ y = x $ and passes though the point $ \left(5,~2\right) $.	2
2971	Find the line that is perpendicular to $ y = - x $ and passes though the point $ \left(5,~2\right) $.	2
2972	Find the line that is perpendicular to $ y = - \frac{ 1 }{ 2 } x $ and passes though the point $ \left(5,~2\right) $.	2
2973	Find the line that is perpendicular to $ y = 2 x - 2 $ and passes though the point $ \left(5,~2\right) $.	2
2974	Find the line that is parallel to $ x-y=0 $ and passes though the point $ \left(8,~6\right) $.	2
2975	Find the line that is perpendicular to $ y = - x + 6 $ and passes though the point $ \left(6,~0\right) $.	2
2976	Find the line that is perpendicular to $ y = \frac{ 1 }{ 5 } x + \frac{ 3 }{ 5 } $ and passes though the point $ A=\left(-1,~10\right) $.	1
2977	Find the line that is perpendicular to $ y = - \frac{ 7 }{ 6 } x - 2 $ and passes though the point $ A=\left(7,~-6\right) $.	1
2978	Find the line that is parallel to $ x-1=0 $ and passes though the point $ A=\left(9,~9\right) $.	1
2979	Find the line that is parallel to $ 3x-2y-9=0 $ and passes though the point $ A=\left(-7,~4\right) $.	1
2980	Find the line that is parallel to $ y = \frac{ 3 }{ 2 } x + 2 $ and passes though the point $ A=\left(3,~6\right) $.	1
2981	Find the line that is perpendicular to $ 6x+9y+1=0 $ and passes though the point $ A=\left(4,~1\right) $.	1
2982	Find the line that is parallel to $ y = - \frac{ 7 }{ 4 } x + 1 $ and passes though the point $ A=\left(4,~-2\right) $.	1
2983	Find the line that is parallel to $ y = 2 x + 3 $ and passes though the point $ A=\left(-1,~4\right) $.	1
2984	Find the line that is perpendicular to $ y = 7 x - 1 $ and passes though the point $ A=\left(-4,~-4\right) $.	1
2985	Find the line that is parallel to $ y = - \frac{ 7 }{ 4 } x - \frac{ 1 }{ 2 } $ and passes though the point $ A=\left(5,~2\right) $.	1
2986	Find the line that is parallel to $ y = \frac{ 2 }{ 3 } x + 4 $ and passes though the point $ A=\left(3,~20\right) $.	1
2987	Find the line that is perpendicular to $ y = 3 x + 7 $ and passes though the point $ A=\left(12,~-4\right) $.	1
2988	Find the line that is parallel to $ y = 2 x - 9 $ and passes though the point $ A=\left(3,~-2\right) $.	1
2989	Find the line that is perpendicular to $ y = - 10 x - 8 $ and passes though the point $ A=\left(-10,~-6\right) $.	1
2990	Find the line that is perpendicular to $ y = - \frac{ 1 }{ 9 } x - 2 $ and passes though the point $ A=\left(2,~2\right) $.	1
2991	Find the line that is perpendicular to $ y = \frac{ 1 }{ 8 } x + 1 $ and passes though the point $ A=\left(2,~2\right) $.	1
2992	Find the line that is parallel to $ y = - 3 x - 6 $ and passes though the point $ A=\left(0,~6\right) $.	1
2993	Find the line that is perpendicular to $ y = - \frac{ 3 }{ 7 } x - 8 $ and passes though the point $ A=\left(-7,~4\right) $.	1
2994	Find the line that is perpendicular to $ y = - \frac{ 7 }{ 9 } x + 7 $ and passes though the point $ A=\left(9,~-3\right) $.	1
2995	Find the line that is perpendicular to $ y = \frac{ 3 }{ 2 } x - \frac{ 14 }{ 3 } $ and passes though the point $ A=\left(-6,~-2\right) $.	1
2996	Find the line that is parallel to $ y = 3 x + 2 $ and passes though the point $ A=\left(-2,~-6\right) $.	1
2997	Find the line that is perpendicular to $ y = -7 $ and passes though the point $ A=\left(-9,~-4\right) $.	1
2998	Find the line that is perpendicular to $ y = - 5 x + 7 $ and passes though the point $ A=\left(-16,~1\right) $.	1
2999	Find the line that is perpendicular to $ y = 14 x - 44 $ and passes though the point $ A=\left(-2,~1\right) $.	1
3000	Find the line that is parallel to $ x-1=0 $ and passes though the point $ A=\left(-4,~-3\right) $.	1