Line-point distance

(the database of solved problems)

All the problems and solutions shown below were generated using the Line-point distance calculator.

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ID	Problem	Count
1	Find the distance from line $L : y = - 3 x + 7$ to the point $A = (- 1, 2)$ .	26
2	Find the distance from line $L : y = x$ to the point $(2, 3)$ .	25
3	Find the distance from line $L : y = - \frac{3}{4} x$ to the point $(2, 1)$ .	21
4	Find the distance from line $L : y = - 4 x$ to the point $A = (6, - 2)$ .	19
5	Find the distance from line $L : 3 x + 4 y - 5 = 0$ to the point $(- 2, 5)$ .	18
6	Find the distance from line $L : 4 x + 3 y + 7 = 0$ to the point $(3, 4)$ .	15
7	Find the distance from line $L : y = x - 6$ to the point $(- 9, - 3)$ .	15
8	Find the distance from line $L : y = - x + 4$ to the point $(2, - 1)$ .	15
9	Find the distance from line $L : y = \frac{1}{3} x - 6$ to the point $(1, 1)$ .	14
10	Find the distance from line $L : y = \frac{1}{2} x + 2$ to the point $(5, - 1)$ .	13
11	Find the distance from line $L : y = 2 x$ to the point $(- 3, 9)$ .	13
12	Find the distance from line $L : y = - 2 x + 1$ to the point $A = (- 4, 4)$ .	13
13	Find the distance from line $L : y = - 4 x + 8$ to the point $(- 4, 2)$ .	13
14	Find the distance from line $L : y = 4 x - 2$ to the point $(- 3, 3)$ .	12
15	Find the distance from line $L : y = - x - 2$ to the point $(- 5, - 4)$ .	12
16	Find the distance from line $L : y = - 3 x + 7$ to the point $(- 1, 2)$ .	12
17	Find the distance from line $L : y = - x$ to the point $(3, 4)$ .	12
18	Find the distance from line $L : y = - 2 x + 1$ to the point $(- 4, 4)$ .	12
19	Find the distance from line $L : y = 2 x + 3$ to the point $(5, 6)$ .	12
20	Find the distance from line $L : y = - \frac{1}{2} x + \frac{3}{2}$ to the point $A = (1, - 1)$ .	11
21	Find the distance from line $L : y = - x - 2$ to the point $(- 5, 5)$ .	11
22	Find the distance from line $L : x + 2.1175 y - 16.249 = 0$ to the point $(15.58, 8.49)$ .	11
23	Find the distance from line $L : y = - \frac{4}{3} x + \frac{7}{3}$ to the point $(- 2, 4)$ .	11
24	Find the distance from line $L : y = - x - 2$ to the point $A = (- 5, 5)$ .	11
25	Find the distance from line $L : y = - 4 x$ to the point $(6, - 2)$ .	11
26	Find the distance from line $L : y = x$ to the point $(0.35, 0.8375)$ .	11
27	Find the distance from line $L : y = x + 6$ to the point $A = (1, 2)$ .	11
28	Find the distance from line $L : y = - \frac{3}{4} x + 1$ to the point $(0, 4)$ .	11
29	Find the distance from line $L : y = - \frac{5}{6} x - 1$ to the point $A = (6, - 4)$ .	10
30	Find the distance from line $L : y = - 2 x + 7$ to the point $(- 3, 1)$ .	10
31	Find the distance from line $L : y = 2 x + 1$ to the point $(5, 2)$ .	10
32	Find the distance from line $L : y = x + 4$ to the point $A = (6, 4)$ .	10
33	Find the distance from line $L : y = \frac{1}{3} x - 2$ to the point $(- 3, 7)$ .	10
34	Find the distance from line $L : y = x$ to the point $A = (0.6929, 0.764)$ .	9
35	Find the distance from line $L : y = - 5 x - 3$ to the point $(- 10, - 5)$ .	9
36	Find the distance from line $L : 12 x - 5 y - 4 = 0$ to the point $(- 1, 2)$ .	9
37	Find the distance from line $L : 3 x + 4 y = 0$ to the point $(3, 4)$ .	9
38	Find the distance from line $L : y = 6 x - 4$ to the point $(0, 10)$ .	9
39	Find the distance from line $L : 3 x - 4 y - 26 = 0$ to the point $A = (3, - 5)$ .	9
40	Find the distance from line $L : y = - \frac{1}{3} x + 12$ to the point $(- 8, 2)$ .	9
41	Find the distance from line $L : y = - 0.375 x + 8$ to the point $A = (3, 16)$ .	9
42	Find the distance from line $L : y = x$ to the point $(0, 0)$ .	9
43	Find the distance from line $L : y = 3 x$ to the point $(- 1, 7)$ .	9
44	Find the distance from line $L : y = 3 x - 1$ to the point $A = (- 6, 4)$ .	9
45	Find the distance from line $L : y = 4 x - 2$ to the point $A = (- 3, 3)$ .	8
46	Find the distance from line $L : y = - x + 4$ to the point $A = (0, 0)$ .	8
47	Find the distance from line $L : 2 x + 3 y - 6 = 0$ to the point $(\frac{3}{2}, 4)$ .	8
48	Find the distance from line $L : y = - x + 3$ to the point $A = (- 1, 0)$ .	8
49	Find the distance from line $L : x + 2 y - 3 = 0$ to the point $(1, - 1)$ .	8
50	Find the distance from line $L : x - y = 0$ to the point $A = (2, 0)$ .	8