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(3,7) P2(5,1) | sqrt of 40 | -3/1 |
| 2 | P1(3,2) P2(-8,3) | sqrt of 122 | 1/-11 |
| 3 | P1(-3,4) P2(-8,-6) | sqrt of 125 | -2/-1 |
| 4 | P1(7,2) P2(-2,-6) | sqrt of 145 | -8/-9 |
| 5 | P1(5,-9) P2(-8,-1) | sqrt of 233 | 8/-13 |
| 6 | P1(6,8) P2(2,4) | sqrt of 32 | -1/-1 |
| 7 | P1(3,6) P2(9,3) | sqrt of 45 | -1/2 |
| 8 | P1(5,6) P2(8,-3) | sqrt of 90 | -3/1 |
| 9 | P1(-5,3) P2(3,-4) | sqrt of 113 | -7/8 |
| 10 | P1(7,2) P2(1,8) | sqrt of 72 | 1/-1 |
| 11 | P1(4,1) P2(-6,6) | sqrt of 125 | 1/-2 |
| 12 | P1(-8,4) P2(7,-7) | sqrt of 346 | -11/15 |
| 13 | P1(1,3) P2(-7,-1) | sqrt of 80 | -1/-2 |
| 14 | P1(6,9) P2(4,-2) | sqrt of 125 | -11/-2 |
| 15 | P1(8,-7) P2(-7,-9) | sqrt of 229 | -2/-15 |
| 16 | P1(-9,4) P2(-8,-7) | sqrt of 122 | -11/1 |
| 17 | P1(3,2) P2(6,9) | sqrt of 58 | 7/3 |
| 18 | P1(5,2) P2(8,5) | sqrt of 18 | 1/1 |
| 19 | P1(5,9) P2(9,2) | sqrt of 65 | -7/4 |
| 20 | P1(9,3) P2(7,9) | sqrt of 40 | 3/-1 |
| 21 | P1(4,2) P2(-9,-9) | sqrt of 290 | -11/-13 |
| 22 | P1(4,2) P2(9,-8) | sqrt of 125 | -2/1 |
| 23 | P1(1,6) P2(-8,8) | sqrt of 85 | 2/-9 |
| 24 | P1(7,6) P2(1,4) | sqrt of 40 | -1/-3 |
| 25 | P1(-9,8) P2(1,-9) | sqrt of 389 | -17/10 |
| 26 | P1(7,8) P2(3,1) | sqrt of 65 | -7/-4 |
| 27 | P1(-9,6) P2(-1,-8) | sqrt of 260 | -7/4 |
| 28 | P1(6,1) P2(9,9) | sqrt of 73 | 8/3 |
| 29 | P1(9,9) P2(5,7) | sqrt of 20 | -1/-2 |
| 30 | P1(3,-1) P2(-9,-8) | sqrt of 193 | -7/-12 |
| 31 | P1(4,8) P2(7,1) | sqrt of 58 | -7/3 |
| 32 | P1(9,-9) P2(-8,-2) | sqrt of 338 | 7/-17 |
| 33 | P1(2,8) P2(1,4) | sqrt of 17 | -4/-1 |
| 34 | P1(3,2) P2(9,5) | sqrt of 45 | 1/2 |
| 35 | P1(3,2) P2(-8,-8) | sqrt of 221 | -10/-11 |
| 36 | P1(9,8) P2(6,-1) | sqrt of 90 | -3/-1 |
| 37 | P1(-5,9) P2(-9,-7) | sqrt of 272 | -4/-1 |
| 38 | P1(5,8) P2(-6,5) | sqrt of 130 | -3/-11 |
| 39 | P1(-8,5) P2(5,-3) | sqrt of 233 | -8/13 |
| 40 | P1(2,9) P2(1,5) | sqrt of 17 | -4/-1 |
| 41 | P1(8,7) P2(6,-5) | sqrt of 148 | -6/-1 |
| 42 | P1(2,8) P2(1,7) | sqrt of 2 | -1/-1 |
| 43 | P1(8,9) P2(4,2) | sqrt of 65 | -7/-4 |
| 44 | P1(4,6) P2(9,3) | sqrt of 34 | -3/5 |
| 45 | P1(-4,2) P2(9,-6) | sqrt of 233 | -8/13 |
| 46 | P1(3,2) P2(4,5) | sqrt of 10 | 3/1 |
| 47 | P1(1,4) P2(-7,-7) | sqrt of 185 | -11/-8 |
| 48 | P1(5,3) P2(-9,6) | sqrt of 205 | 3/-14 |
| 49 | P1(6,-2) P2(-4,-6) | sqrt of 116 | -2/-5 |
| 50 | P1(-9,2) P2(-1,-4) | sqrt of 100 | -3/4 |
