Analytic Geometry: Equation of a Line

Given two points, the equation of a line whose points are equidistant from the two given points is determined.

Problem	Given Points	Equation of the Line
1	P1(3,3) P2(9,-1)	3x-2y-16=0
2	P1(7,6) P2(-4,7)	11x-1y-10=0
3	P1(-7,8) P2(-1,-3)	12x-22y+103=0
4	P1(8,-7) P2(-9,-6)	17x-1y+2=0
5	P1(-9,4) P2(-2,-4)	14x-16y+77=0
6	P1(9,7) P2(1,-3)	4x+5y-30=0
7	P1(3,-5) P2(-8,-2)	11x-3y+17=0
8	P1(-7,2) P2(-3,-4)	2x-3y+7=0
9	P1(6,9) P2(-1,1)	14x+16y-115=0
10	P1(4,8) P2(-5,7)	9x+1y-3=0
11	P1(4,-6) P2(-9,-9)	13x+3y+55=0
12	P1(1,9) P2(-5,-5)	3x+7y-8=0
13	P1(6,2) P2(7,-5)	1x-7y-17=0
14	P1(-7,8) P2(-6,-2)	2x-20y+73=0
15	P1(7,-3) P2(-8,-9)	10x+4y+29=0
16	P1(3,9) P2(-7,8)	20x+2y+23=0
17	P1(5,8) P2(-1,3)	12x+10y-79=0
18	P1(-2,6) P2(-3,-5)	1x+11y-3=0
19	P1(8,7) P2(-3,-2)	11x+9y-50=0
20	P1(-8,8) P2(-5,-5)	3x-13y+39=0
21	P1(-4,4) P2(5,-1)	9x-5y+3=0
22	P1(-3,7) P2(7,-1)	5x-4y+2=0
23	P1(5,8) P2(-9,-8)	7x+8y+14=0
24	P1(3,7) P2(-9,-8)	8x+10y+29=0
25	P1(9,7) P2(-9,-1)	9x+4y-12=0
26	P1(3,7) P2(8,-1)	10x-16y-7=0
27	P1(1,2) P2(-1,1)	4x+2y-3=0
28	P1(4,6) P2(-2,-1)	12x+14y-47=0
29	P1(4,-9) P2(-5,-9)	2x-0y+1=0
30	P1(-2,1) P2(-5,-8)	1x+3y+14=0
31	P1(9,9) P2(6,-8)	3x+17y-31=0
32	P1(2,9) P2(9,-2)	7x-11y+0=0
33	P1(9,5) P2(-5,-4)	28x+18y-65=0
34	P1(8,6) P2(-4,8)	6x-1y-5=0
35	P1(-7,4) P2(6,-6)	26x-20y-7=0
36	P1(8,9) P2(-9,-2)	17x+11y-30=0
37	P1(4,8) P2(-7,9)	11x-1y+25=0
38	P1(-5,8) P2(1,-7)	4x-10y+13=0
39	P1(-4,8) P2(8,-1)	8x-6y+5=0
40	P1(-6,3) P2(-7,-6)	1x+9y+20=0
41	P1(6,6) P2(9,-6)	2x-8y-15=0
42	P1(1,1) P2(6,-2)	5x-3y-19=0
43	P1(6,-2) P2(-2,-6)	2x+1y-0=0
44	P1(-4,1) P2(7,-8)	11x-9y-48=0
45	P1(-6,9) P2(1,-3)	14x-24y+107=0
46	P1(4,1) P2(-6,-5)	5x+3y+11=0
47	P1(3,-1) P2(-8,-5)	22x+8y+79=0
48	P1(-4,7) P2(1,-4)	5x-11y+24=0
49	P1(9,-8) P2(-9,-8)	1x-0y-0=0
50	P1(3,3) P2(-2,3)	2x-0y-1=0