Analytic Geometry: Distance Between Two Points
Given two points, their distance and the slope of the line joining them are solved.
| Problem | Given Points | Distance | Slope |
| 1 | P1(2,3) P2(-3,8) | sqrt of 50 | 1/-1 |
| 2 | P1(7,1) P2(-5,-7) | sqrt of 208 | -2/-3 |
| 3 | P1(9,4) P2(2,7) | sqrt of 58 | 3/-7 |
| 4 | P1(7,-6) P2(-9,-9) | sqrt of 265 | -3/-16 |
| 5 | P1(2,1) P2(9,3) | sqrt of 53 | 2/7 |
| 6 | P1(-7,1) P2(-4,-9) | sqrt of 109 | -10/3 |
| 7 | P1(-4,5) P2(2,-4) | sqrt of 117 | -3/2 |
| 8 | P1(4,6) P2(5,-9) | sqrt of 226 | -15/1 |
| 9 | P1(9,8) P2(1,5) | sqrt of 73 | -3/-8 |
| 10 | P1(5,7) P2(7,6) | sqrt of 5 | -1/2 |
| 11 | P1(1,6) P2(2,8) | sqrt of 5 | 2/1 |
| 12 | P1(5,1) P2(7,2) | sqrt of 5 | 1/2 |
| 13 | P1(-3,2) P2(-6,-8) | sqrt of 109 | -10/-3 |
| 14 | P1(7,9) P2(8,3) | sqrt of 37 | -6/1 |
| 15 | P1(7,8) P2(-9,-4) | sqrt of 400 | -3/-4 |
| 16 | P1(1,8) P2(-7,9) | sqrt of 65 | 1/-8 |
| 17 | P1(5,9) P2(6,-7) | sqrt of 257 | -16/1 |
| 18 | P1(2,-7) P2(-7,-5) | sqrt of 85 | 2/-9 |
| 19 | P1(-3,9) P2(6,-4) | sqrt of 250 | -13/9 |
| 20 | P1(4,3) P2(7,1) | sqrt of 13 | -2/3 |
| 21 | P1(-5,6) P2(1,-2) | sqrt of 100 | -4/3 |
| 22 | P1(8,3) P2(-5,8) | sqrt of 194 | 5/-13 |
| 23 | P1(5,5) P2(-7,-4) | sqrt of 225 | -3/-4 |
| 24 | P1(2,8) P2(3,-6) | sqrt of 197 | -14/1 |
| 25 | P1(6,3) P2(8,8) | sqrt of 29 | 5/2 |
| 26 | P1(4,9) P2(7,8) | sqrt of 10 | -1/3 |
| 27 | P1(-7,5) P2(-8,-3) | sqrt of 65 | -8/-1 |
| 28 | P1(6,5) P2(3,8) | sqrt of 18 | 1/-1 |
| 29 | P1(9,7) P2(3,3) | sqrt of 52 | -2/-3 |
| 30 | P1(8,-4) P2(-3,-9) | sqrt of 146 | -5/-11 |
| 31 | P1(-8,9) P2(6,-6) | sqrt of 421 | -15/14 |
| 32 | P1(5,9) P2(-1,7) | sqrt of 40 | -1/-3 |
| 33 | P1(9,1) P2(-5,-9) | sqrt of 296 | -5/-7 |
| 34 | P1(2,4) P2(7,1) | sqrt of 34 | -3/5 |
| 35 | P1(8,9) P2(2,3) | sqrt of 72 | 1/1 |
| 36 | P1(2,9) P2(7,-2) | sqrt of 146 | -11/5 |
| 37 | P1(4,7) P2(2,4) | sqrt of 13 | -3/-2 |
| 38 | P1(-4,3) P2(-1,-7) | sqrt of 109 | -10/3 |
| 39 | P1(7,5) P2(1,9) | sqrt of 52 | 2/-3 |
| 40 | P1(7,-2) P2(-5,-3) | sqrt of 145 | -1/-12 |
| 41 | P1(3,5) P2(2,9) | sqrt of 17 | 4/-1 |
| 42 | P1(1,6) P2(4,-9) | sqrt of 234 | -5/1 |
| 43 | P1(4,1) P2(5,5) | sqrt of 17 | 4/1 |
| 44 | P1(8,-7) P2(-7,-9) | sqrt of 229 | -2/-15 |
| 45 | P1(1,9) P2(-3,7) | sqrt of 20 | -1/-2 |
| 46 | P1(2,2) P2(-7,-8) | sqrt of 181 | -10/-9 |
| 47 | P1(9,2) P2(5,6) | sqrt of 32 | 1/-1 |
| 48 | P1(1,8) P2(7,1) | sqrt of 85 | -7/6 |
| 49 | P1(-9,8) P2(4,-2) | sqrt of 269 | -10/13 |
| 50 | P1(-8,1) P2(-5,-6) | sqrt of 58 | -7/3 |