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(2,4) P2(7,8) | sqrt of 41 | 4/5 |
| 2 | P1(8,6) P2(4,7) | sqrt of 17 | 1/-4 |
| 3 | P1(1,-3) P2(-3,-6) | sqrt of 25 | -3/-4 |
| 4 | P1(-6,7) P2(5,-6) | sqrt of 290 | -13/11 |
| 5 | P1(-1,5) P2(-8,-2) | sqrt of 98 | 1/1 |
| 6 | P1(1,7) P2(9,-3) | sqrt of 164 | -5/4 |
| 7 | P1(5,6) P2(-2,-7) | sqrt of 218 | -13/-7 |
| 8 | P1(9,8) P2(4,9) | sqrt of 26 | 1/-5 |
| 9 | P1(3,9) P2(-2,1) | sqrt of 89 | -8/-5 |
| 10 | P1(4,1) P2(3,9) | sqrt of 65 | 8/-1 |
| 11 | P1(6,3) P2(-8,4) | sqrt of 197 | 1/-14 |
| 12 | P1(7,6) P2(2,2) | sqrt of 41 | -4/-5 |
| 13 | P1(4,-2) P2(-6,-9) | sqrt of 149 | -7/-10 |
| 14 | P1(8,4) P2(2,2) | sqrt of 40 | -1/-3 |
| 15 | P1(3,3) P2(8,-4) | sqrt of 74 | -7/5 |
| 16 | P1(-2,8) P2(-1,-9) | sqrt of 290 | -17/1 |
| 17 | P1(2,5) P2(7,9) | sqrt of 41 | 4/5 |
| 18 | P1(3,8) P2(-4,-5) | sqrt of 218 | -13/-7 |
| 19 | P1(6,4) P2(8,8) | sqrt of 20 | 2/1 |
| 20 | P1(-4,3) P2(5,-6) | sqrt of 162 | -1/1 |
| 21 | P1(-9,3) P2(-5,-8) | sqrt of 137 | -11/4 |
| 22 | P1(4,3) P2(1,5) | sqrt of 13 | 2/-3 |
| 23 | P1(4,-6) P2(-5,-7) | sqrt of 82 | -1/-9 |
| 24 | P1(4,4) P2(1,-9) | sqrt of 178 | -13/-3 |
| 25 | P1(-4,8) P2(8,-6) | sqrt of 340 | -7/6 |
| 26 | P1(5,2) P2(1,9) | sqrt of 65 | 7/-4 |
| 27 | P1(8,7) P2(-1,-4) | sqrt of 202 | -11/-9 |
| 28 | P1(1,8) P2(9,3) | sqrt of 89 | -5/8 |
| 29 | P1(1,9) P2(-6,5) | sqrt of 65 | -4/-7 |
| 30 | P1(8,2) P2(2,8) | sqrt of 72 | 1/-1 |
| 31 | P1(8,-3) P2(-2,-5) | sqrt of 104 | -1/-5 |
| 32 | P1(3,3) P2(-4,-2) | sqrt of 74 | -5/-7 |
| 33 | P1(8,8) P2(5,9) | sqrt of 10 | 1/-3 |
| 34 | P1(8,3) P2(2,5) | sqrt of 40 | 1/-3 |
| 35 | P1(9,6) P2(-6,4) | sqrt of 229 | -2/-15 |
| 36 | P1(8,6) P2(1,-2) | sqrt of 113 | -8/-7 |
| 37 | P1(5,3) P2(7,5) | sqrt of 8 | 1/1 |
| 38 | P1(-8,8) P2(-3,-3) | sqrt of 146 | -11/5 |
| 39 | P1(-4,7) P2(1,-9) | sqrt of 281 | -16/5 |
| 40 | P1(7,9) P2(1,7) | sqrt of 40 | -1/-3 |
| 41 | P1(-4,8) P2(-9,-3) | sqrt of 146 | -11/-5 |
| 42 | P1(-3,3) P2(7,-7) | sqrt of 200 | -1/1 |
| 43 | P1(8,2) P2(-7,7) | sqrt of 250 | 1/-3 |
| 44 | P1(2,1) P2(3,9) | sqrt of 65 | 8/1 |
| 45 | P1(8,2) P2(4,9) | sqrt of 65 | 7/-4 |
| 46 | P1(1,7) P2(8,8) | sqrt of 50 | 1/7 |
| 47 | P1(3,-8) P2(-1,-4) | sqrt of 32 | 1/-1 |
| 48 | P1(9,7) P2(1,4) | sqrt of 73 | -3/-8 |
| 49 | P1(2,7) P2(5,-3) | sqrt of 109 | -10/3 |
| 50 | P1(7,4) P2(-3,-8) | sqrt of 244 | -6/-5 |