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
2301	Find the line that is parallel to $ y = \frac{ 1 }{ 2 } x $ and passes though the point $ \left(-2,~-2\right) $.	2
2302	Find the line that is parallel to $ y = - 3 x $ and passes though the point $ \left(5,~7\right) $.	2
2303	Find the line that is parallel to $ y = 5 x $ and passes though the point $ \left(-1,~4\right) $.	2
2304	Find the line that is perpendicular to $ y = 7 x + 126 $ and passes though the point $ \left(0,~0\right) $.	2
2305	Find the line that is parallel to $ x=0 $ and passes though the point $ \left(10,~100\right) $.	2
2306	Find the line that is parallel to $ y = - \frac{ 1 }{ 3 } x $ and passes though the point $ \left(5,~15\right) $.	2
2307	Find the line that is parallel to $ y = \frac{ 7 }{ 8 } x - 2 $ and passes though the point $ \left(-1,~7\right) $.	2
2308	Find the line that is perpendicular to $ y = \frac{ 1 }{ 5 } x - 2 $ and passes though the point $ \left(5,~-3\right) $.	2
2309	Find the line that is parallel to $ y = - \frac{ 1 }{ 5 } x - 5 $ and passes though the point $ \left(0,~0\right) $.	2
2310	Find the line that is perpendicular to $ y = \frac{ 4 }{ 7 } x + 1 $ and passes though the point $ \left(4,~4\right) $.	2
2311	Find the line that is parallel to $ y = \frac{ 4 }{ 7 } x - 1 $ and passes though the point $ \left(4,~4\right) $.	2
2312	Find the line that is perpendicular to $ y = - 2 x + 6 $ and passes though the point $ \left(12,~-48\right) $.	2
2313	Find the line that is parallel to $ y = - 2 x + 6 $ and passes though the point $ \left(12,~-48\right) $.	2
2314	Find the line that is parallel to $ y = 8 x - 8 $ and passes though the point $ \left(-7,~-3\right) $.	2
2315	Find the line that is parallel to $ y = - \frac{ 4 }{ 3 } x + 9 $ and passes though the point $ \left(-8,~6\right) $.	2
2316	Find the line that is perpendicular to $ y = - \frac{ 4 }{ 3 } x + 9 $ and passes though the point $ \left(-8,~6\right) $.	2
2317	Find the line that is parallel to $ 7x+8y-3=0 $ and passes though the point $ \left(2,~3\right) $.	2
2318	Find the line that is perpendicular to $ y = - 7 x + 2 $ and passes though the point $ \left(-2,~-5\right) $.	2
2319	Find the line that is perpendicular to $ y = \frac{ 2 }{ 5 } x + 7 $ and passes though the point $ \left(-2,~2\right) $.	2
2320	Find the line that is parallel to $ 3x-4y+12=0 $ and passes though the point $ \left(\dfrac{ 18 }{ 7 },~0\right) $.	2
2321	Find the line that is perpendicular to $ y = - \frac{ 7 }{ 2 } x + 9 $ and passes though the point $ \left(\dfrac{ 18 }{ 7 },~\dfrac{ 417 }{ 100 }\right) $.	2
2322	Find the line that is parallel to $ y = - \frac{ 7 }{ 2 } x + 9 $ and passes though the point $ \left(0,~0\right) $.	2
2323	Find the line that is perpendicular to $ y = - \frac{ 7 }{ 2 } x + 9 $ and passes though the point $ \left(10,~3\right) $.	2
2324	Find the line that is parallel to $ y = - \frac{ 7 }{ 2 } x + 9 $ and passes though the point $ \left(10,~3\right) $.	2
2325	Find the line that is parallel to $ y = x $ and passes though the point $ \left(0,~0\right) $.	2
2326	Find the line that is perpendicular to $ x+7y+10=0 $ and passes though the point $ \left(0,~0\right) $.	2
2327	Find the line that is perpendicular to $ y = - 5 x + 4 $ and passes though the point $ \left(2,~-4\right) $.	2
2328	Find the line that is parallel to $ y = - 5 x + 4 $ and passes though the point $ \left(2,~-4\right) $.	2
2329	Find the line that is perpendicular to $ 7x-3y-9=0 $ and passes though the point $ \left(7,~4\right) $.	2
2330	Find the line that is parallel to $ y = \frac{ 8 }{ 3 } x + 2 $ and passes though the point $ \left(0,~0\right) $.	2
2331	Find the line that is perpendicular to $ y = \frac{ 8 }{ 3 } x + 2 $ and passes though the point $ \left(-8,~-4\right) $.	2
2332	Find the line that is parallel to $ y = \frac{ 8 }{ 3 } x + 2 $ and passes though the point $ \left(-8,~-4\right) $.	2
2333	Find the line that is parallel to $ y = - 2 x - 1 $ and passes though the point $ \left(-8,~3\right) $.	2
2334	Find the line that is perpendicular to $ 3x+7y-1=0 $ and passes though the point $ \left(9,~6\right) $.	2
2335	Find the line that is perpendicular to $ 2x-5y-3=0 $ and passes though the point $ \left(-3,~-4\right) $.	2
2336	Find the line that is perpendicular to $ 5y+9=0 $ and passes though the point $ \left(-2,~-3\right) $.	2
2337	Find the line that is perpendicular to $ x+2y+5=0 $ and passes though the point $ \left(-3,~-2\right) $.	2
2338	Find the line that is parallel to $ y = \frac{ 1 }{ 6 } x + 18 $ and passes though the point $ \left(1,~2\right) $.	2
2339	Find the line that is perpendicular to $ y = 6 x - 2 $ and passes though the point $ \left(6,~2\right) $.	2
2340	Find the line that is parallel to $ y = - 3 x + 8 $ and passes though the point $ \left(2,~1\right) $.	2
2341	Find the line that is perpendicular to $ y = 3 x + 2 $ and passes though the point $ \left(6,~8\right) $.	2
2342	Find the line that is parallel to $ y = - \frac{ 1 }{ 2 } x - \frac{ 5 }{ 2 } $ and passes though the point $ \left(6,~2\right) $.	2
2343	Find the line that is parallel to $ y = - 2 x + 7 $ and passes though the point $ \left(8,~5\right) $.	2
2344	Find the line that is parallel to $ y = - 2 x $ and passes though the point $ \left(-3,~4\right) $.	2
2345	Find the line that is perpendicular to $ y = - 5 x + 7 $ and passes though the point $ \left(-6,~-3\right) $.	2
2346	Find the line that is perpendicular to $ y = - x $ and passes though the point $ \left(5,~-4\right) $.	2
2347	Find the line that is parallel to $ y = - \frac{ 1 }{ 3 } x + 4 $ and passes though the point $ \left(3,~5\right) $.	2
2348	Find the line that is parallel to $ y = x + 6 $ and passes though the point $ \left(5,~-2\right) $.	2
2349	Find the line that is perpendicular to $ y = - 4 x + 3 $ and passes though the point $ \left(1,~-2\right) $.	2
2350	Find the line that is perpendicular to $ y = - \frac{ 4 }{ 7 } x + 5 $ and passes though the point $ \left(0,~0\right) $.	2