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
2401	Find the line that is perpendicular to $ x-6y+2=0 $ and passes though the point $ \left(-5,~6\right) $.	2
2402	Find the line that is parallel to $ y = 5 x - 3 $ and passes though the point $ \left(5,~3\right) $.	2
2403	Find the line that is parallel to $ y = - 7 x $ and passes though the point $ \left(-5,~32\right) $.	2
2404	Find the line that is parallel to $ y = - 3 x $ and passes though the point $ \left(2,~11\right) $.	2
2405	Find the line that is perpendicular to $ y = \frac{ 4 }{ 3 } x $ and passes though the point $ \left(9,~12\right) $.	2
2406	Find the line that is parallel to $ y = 4 x - 19 $ and passes though the point $ \left(0,~7\right) $.	2
2407	Find the line that is perpendicular to $ 2x-y-4=0 $ and passes though the point $ \left(0,~0\right) $.	2
2408	Find the line that is perpendicular to $ y = 3 x - 7 $ and passes though the point $ \left(10,~0\right) $.	2
2409	Find the line that is parallel to $ y = \sqrt{ 5 } x + 3 $ and passes though the point $ \left(1,~2\right) $.	2
2410	Find the line that is parallel to $ y = \frac{ 7 }{ 4 } x + 2 $ and passes though the point $ \left(-7,~4\right) $.	2
2411	Find the line that is perpendicular to $ y = \frac{ 7 }{ 4 } x + 2 $ and passes though the point $ \left(-7,~4\right) $.	2
2412	Find the line that is perpendicular to $ y = - \frac{ 1 }{ 2 } x - 1 $ and passes though the point $ \left(-1,~0\right) $.	2
2413	Find the line that is perpendicular to $ y = \frac{ 1 }{ 2 } x + 1 $ and passes though the point $ \left(3,~-5\right) $.	2
2414	Find the line that is parallel to $ y = - \frac{ 8 }{ 5 } x - 1 $ and passes though the point $ \left(0,~0\right) $.	2
2415	Find the line that is parallel to $ y = \frac{ 1 }{ 4 } x - 7 $ and passes though the point $ \left(6,~-6\right) $.	2
2416	Find the line that is perpendicular to $ y = \frac{ 1 }{ 4 } x - 7 $ and passes though the point $ \left(6,~-6\right) $.	2
2417	Find the line that is perpendicular to $ y = 2 x - 1 $ and passes though the point $ \left(-1,~2\right) $.	2
2418	Find the line that is perpendicular to $ y = \frac{ 9 }{ 10 } x $ and passes though the point $ \left(-5,~-5\right) $.	2
2419	Find the line that is perpendicular to $ y = - \frac{ 2 }{ 5 } x + 2 $ and passes though the point $ \left(-5,~-3\right) $.	2
2420	Find the line that is perpendicular to $ y = - \frac{ 4 }{ 7 } x + 5 $ and passes though the point $ \left(-2,~2\right) $.	2
2421	Find the line that is parallel to $ y = 16 x $ and passes though the point $ \left(-7,~43\right) $.	2
2422	Find the line that is perpendicular to $ y = - 5 x + 8 $ and passes though the point $ \left(3,~7\right) $.	2
2423	Find the line that is parallel to $ x=0 $ and passes though the point $ \left(3,~7\right) $.	2
2424	Find the line that is parallel to $ y = 3 x + 3 $ and passes though the point $ \left(2,~0\right) $.	2
2425	Find the line that is perpendicular to $ y = - 2 x + 1 $ and passes though the point $ \left(-3,~5\right) $.	2
2426	Find the line that is perpendicular to $ y = - 9 x + 7 $ and passes though the point $ \left(-7,~5\right) $.	2
2427	Find the line that is parallel to $ y = \frac{ 7 }{ 8 } x - 3 $ and passes though the point $ \left(7,~-2\right) $.	2
2428	Find the line that is perpendicular to $ y = 2 x - 4 $ and passes though the point $ \left(-7,~-6\right) $.	2
2429	Find the line that is parallel to $ y = \frac{ 1 }{ 2 } x + 4 $ and passes though the point $ \left(10,~-1\right) $.	2
2430	Find the line that is perpendicular to $ y = - 2 x + 3 $ and passes though the point $ \left(-2,~-2\right) $.	2
2431	Find the line that is perpendicular to $ y = - \frac{ 2 }{ 5 } x + 6 $ and passes though the point $ \left(0,~0\right) $.	2
2432	Find the line that is parallel to $ y = \frac{ 1 }{ 3 } x + 6 $ and passes though the point $ \left(3,~-6\right) $.	2
2433	Find the line that is perpendicular to $ y = -3 $ and passes though the point $ \left(3,~-2\right) $.	2
2434	Find the line that is parallel to $ y = 2 x + 4 $ and passes though the point $ \left(3,~2\right) $.	2
2435	Find the line that is parallel to $ y = - \frac{ 1 }{ 2 } x + 5 $ and passes though the point $ \left(-10,~-4\right) $.	2
2436	Find the line that is parallel to $ y = 5 x + 15 $ and passes though the point $ \left(10,~-3\right) $.	2
2437	Find the line that is perpendicular to $ y = 3 x - 7 $ and passes though the point $ \left(0,~8\right) $.	2
2438	Find the line that is perpendicular to $ y = \frac{ 1 }{ 3 } x + 4 $ and passes though the point $ \left(-4,~4\right) $.	2
2439	Find the line that is perpendicular to $ y = \frac{ 7 }{ 10 } x + 6 $ and passes though the point $ \left(-5,~-\dfrac{ 5 }{ 2 }\right) $.	2
2440	Find the line that is parallel to $ y = x + 7 $ and passes though the point $ \left(1,~-7\right) $.	2
2441	Find the line that is perpendicular to $ y = - x + 1 $ and passes though the point $ \left(5,~7\right) $.	2
2442	Find the line that is perpendicular to $ y = - \frac{ 4 }{ 3 } x - 5 $ and passes though the point $ \left(-4,~-5\right) $.	2
2443	Find the line that is perpendicular to $ y = 2 x + 5 $ and passes though the point $ \left(-2,~-1\right) $.	2
2444	Find the line that is parallel to $ y = - 7 x + 3 $ and passes though the point $ \left(-5,~-5\right) $.	2
2445	Find the line that is parallel to $ y = - 3 x + 3 $ and passes though the point $ \left(3,~5\right) $.	2
2446	Find the line that is perpendicular to $ y = - \frac{ 4 }{ 5 } x + \frac{ 12 }{ 5 } $ and passes though the point $ \left(4,~7\right) $.	2
2447	Find the line that is perpendicular to $ y = - \frac{ 4 }{ 7 } x - \frac{ 13 }{ 7 } $ and passes though the point $ \left(8,~4\right) $.	2
2448	Find the line that is perpendicular to $ y = \frac{ 7 }{ 6 } x - \frac{ 16 }{ 3 } $ and passes though the point $ \left(-5,~1\right) $.	2
2449	Find the line that is parallel to $ y = 3 x + 3 $ and passes though the point $ \left(0,~0\right) $.	2
2450	Find the line that is perpendicular to $ y = - \frac{ 5 }{ 7 } x $ and passes though the point $ \left(7,~-5\right) $.	2