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.

Select category

ID	Problem	Count
301	Find the line that is perpendicular to $ y = 3 x + 2 $ and passes though the point $ \left(4,~-1\right) $.	7
302	Find the line that is parallel to $ y = \frac{ 1 }{ 4 } x - 3 $ and passes though the point $ A=\left(0,~0\right) $.	7
303	Find the line that is parallel to $ y = - \frac{ 7 }{ 6 } x + 1 $ and passes though the point $ A=\left(6,~-4\right) $.	7
304	Find the line that is parallel to $ y = 2 x + 1 $ and passes though the point $ A=\left(7,~9\right) $.	7
305	Find the line that is parallel to $ y = - \frac{ 5 }{ 2 } x - 14 $ and passes though the point $ A=\left(12,~-24\right) $.	7
306	Find the line that is parallel to $ y = 5 x + 2 $ and passes though the point $ A=\left(5,~4\right) $.	7
307	Find the line that is parallel to $ y = 5 x - \frac{ 2 }{ 5 } $ and passes though the point $ A=\left(2,~6\right) $.	7
308	Find the line that is parallel to $ 5x+4y+1=0 $ and passes though the point $ A=\left(-4,~-5\right) $.	7
309	Find the line that is parallel to $ y = - \frac{ 5 }{ 8 } x - 5 $ and passes though the point $ A=\left(5,~-4\right) $.	7
310	Find the line that is parallel to $ y = - 10 x - 8 $ and passes though the point $ A=\left(-10,~-6\right) $.	7
311	Find the line that is parallel to $ y = 3 x - 5 $ and passes though the point $ A=\left(0,~0\right) $.	7
312	Find the line that is perpendicular to $ y = - 7 x + 9 $ and passes though the point $ A=\left(-2,~-5\right) $.	7
313	Find the line that is parallel to $ y = - \frac{ 10 }{ 9 } x + 3 $ and passes though the point $ A=\left(2,~3\right) $.	7
314	Find the line that is parallel to $ y = \frac{ 1 }{ 4 } x - 8 $ and passes though the point $ \left(6,~-3\right) $.	7
315	Find the line that is parallel to $ y = \frac{ 6 }{ 7 } x + 1 $ and passes though the point $ A=\left(-6,~-5\right) $.	7
316	Find the line that is parallel to $ y = 3 $ and passes though the point $ A=\left(3,~1\right) $.	7
317	Find the line that is parallel to $ y = 3 x + 1 $ and passes though the point $ A=\left(2,~4\right) $.	7
318	Find the line that is perpendicular to $ y = 3 x - 1 $ and passes though the point $ A=\left(-9,~-2\right) $.	7
319	Find the line that is parallel to $ x-2y-8=0 $ and passes though the point $ A=\left(0,~0\right) $.	7
320	Find the line that is parallel to $ y = 3 x + 4 $ and passes though the point $ A=\left(5,~5\right) $.	7
321	Find the line that is parallel to $ y = 2 x + 2 $ and passes though the point $ A=\left(5,~2\right) $.	7
322	Find the line that is perpendicular to $ y = - 10 x - 8 $ and passes though the point $ A=\left(2,~2\right) $.	7
323	Find the line that is parallel to $ y = x + 1 $ and passes though the point $ A=\left(9,~9\right) $.	7
324	Find the line that is parallel to $ y = x - 2 $ and passes though the point $ A=\left(-2,~-9\right) $.	7
325	Find the line that is perpendicular to $ y = - \frac{ 5 }{ 2 } x - 9 $ and passes though the point $ A=\left(5,~-2\right) $.	7
326	Find the line that is perpendicular to $ y = - 2 x + 2 $ and passes though the point $ A=\left(-1,~-2\right) $.	7
327	Find the line that is parallel to $ y = \frac{ 1 }{ 2 } x + 5 $ and passes though the point $ A=\left(-2,~-2\right) $.	7
328	Find the line that is perpendicular to $ y = 2 x - 4 $ and passes though the point $ A=\left(0,~0\right) $.	6
329	Find the line that is parallel to $ y = \frac{ 5 }{ 9 } x - 7 $ and passes though the point $ A=\left(5,~4\right) $.	6
330	Find the line that is perpendicular to $ y = - \frac{ 7 }{ 6 } x + 1 $ and passes though the point $ A=\left(6,~-4\right) $.	6
331	Find the line that is perpendicular to $ 2x+y-2=0 $ and passes though the point $ A=\left(3,~1\right) $.	6
332	Find the line that is parallel to $ y = - 4 x - \frac{ 4 }{ 5 } $ and passes though the point $ A=\left(7,~-6\right) $.	6
333	Find the line that is parallel to $ y = \frac{ 1 }{ 5 } x - 1 $ and passes though the point $ A=\left(-10,~-3\right) $.	6
334	Find the line that is parallel to $ y = - \frac{ 7 }{ 6 } x - 2 $ and passes though the point $ A=\left(7,~-6\right) $.	6
335	Find the line that is parallel to $ y = - \frac{ 1 }{ 9 } x - 10 $ and passes though the point $ A=\left(-9,~-7\right) $.	6
336	Find the line that is perpendicular to $ y = - 3 x - 9 $ and passes though the point $ A=\left(6,~-3\right) $.	6
337	Find the line that is parallel to $ y = 5 x + 9 $ and passes though the point $ A=\left(-2,~-3\right) $.	6
338	Find the line that is perpendicular to $ y = 3 x - 5 $ and passes though the point $ A=\left(0,~0\right) $.	6
339	Find the line that is perpendicular to $ y = - \frac{ 8 }{ 9 } x - \frac{ 2 }{ 9 } $ and passes though the point $ A=\left(7,~7\right) $.	6
340	Find the line that is perpendicular to $ y = \frac{ 6 }{ 7 } x + 1 $ and passes though the point $ A=\left(-6,~-5\right) $.	6
341	Find the line that is perpendicular to $ y = - \frac{ 3 }{ 2 } x + 1 $ and passes though the point $ A=\left(2,~-3\right) $.	6
342	Find the line that is perpendicular to $ y = - \frac{ 4 }{ 9 } x - \frac{ 22 }{ 9 } $ and passes though the point $ A=\left(-6,~-10\right) $.	6
343	Find the line that is parallel to $ y = 3 x + 4 $ and passes though the point $ A=\left(0,~0\right) $.	6
344	Find the line that is parallel to $ y = \frac{ 1 }{ 3 } x + 6 $ and passes though the point $ A=\left(3,~1\right) $.	6
345	Find the line that is perpendicular to $ x-2y-8=0 $ and passes though the point $ A=\left(0,~0\right) $.	6
346	Find the line that is parallel to $ y = - 10 x - 8 $ and passes though the point $ \left(2,~2\right) $.	6
347	Find the line that is parallel to $ y = 5 x - 9 $ and passes though the point $ A=\left(-4,~5\right) $.	6
348	Find the line that is perpendicular to $ y = - 3 x + 2 $ and passes though the point $ A=\left(0,~0\right) $.	6
349	Find the line that is perpendicular to $ y = x + 3 $ and passes though the point $ A=\left(0,~0\right) $.	6
350	Find the line that is parallel to $ y = 3 x - 1 $ and passes though the point $ A=\left(-6,~4\right) $.	6