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(3, -9) and (-12, -6) 2. (5, 14) and (1, 6) 3. (-3, 14) and (-2, 9) 4. (-4, -9) and (0, -8) 5. (4, 1) and...

1. (3, -9) and (-12, -6)
2. (5, 14) and (1, 6)
3. (-3, 14) and (-2, 9)
4. (-4, -9) and (0, -8)
5. (4, 1) and (6, -1)
6. (-11, 4) and (-2, 4)
7. (9, 15) and (-6, 5)
8. (-1, -9) and (-5, -1)
9. (-14, 16) and (18, 0)
10. (-1, -20) and (-1, 1)
You must label your points and correctly plug them into the formula

Answer

Distance Between Points

The distance between two points \((x_1, y_1)\) and \((x_2, y_2)\) can be calculated using the distance formula:

 d = √((x_2 - x_1)² + (y_2 - y_1)²) 

1. Points (3, -9) and (-12, -6)

 x1 = 3, y1 = -9 x2 = -12, y2 = -6 d = √((-12 - 3)² + (-6 + 9)²) = √((-15)² + (3)²) = √(225 + 9) = √234 = 15.33 

2. Points (5, 14) and (1, 6)

 x1 = 5, y1 = 14 x2 = 1, y2 = 6 d = √((1 - 5)² + (6 - 14)²) = √((-4)² + (-8)²) = √(16 + 64) = √80 = 8.94 

3. Points (-3, 14) and (-2, 9)

 x1 = -3, y1 = 14 x2 = -2, y2 = 9 d = √((-2 - (-3))² + (9 - 14)²) = √((1)² + (-5)²) = √(1 + 25) = √26 = 5.10 

4. Points (-4, -9) and (0, -8)

 x1 = -4, y1 = -9 x2 = 0, y2 = -8 d = √((0 - (-4))² + (-8 - (-9))²) = √((4)² + (1)²) = √(16 + 1) = √17 = 4.12 

5. Points (4, 1) and (6, -1)

 x1 = 4, y1 = 1 x2 = 6, y2 = -1 d = √((6 - 4)² + (-1 - 1)²) = √((2)² + (-2)²) = √(4 + 4) = √8 = 2.83 

6. Points (-11, 4) and (-2, 4)

 x1 = -11, y1 = 4 x2 = -2, y2 = 4 d = √((-2 - (-11))² + (4 - 4)²) = √((9)² + (0)²) = √(81 + 0) = √81 = 9.00 

7. Points (9, 15) and (-6, 5)

 x1 = 9, y1 = 15 x2 = -6, y2 = 5 d = √((-6 - 9)² + (5 - 15)²) = √((-15)² + (-10)²) = √(225 + 100) = √325 = 18.03 

8. Points (-1, -9) and (-5, -1)

 x1 = -1, y1 = -9 x2 = -5, y2 = -1 d = √((-5 - (-1))² + (-1 - (-9))²) = √((-4)² + (8)²) = √(16 + 64) = √80 = 8.94 

9. Points (-14, 16) and (18, 0)

 x1 = -14, y1 = 16 x2 = 18, y2 = 0 d = √((18 - (-14))² + (0 - 16)²) = √((32)² + (-16)²) = √(1024 + 256) = √1280 = 35.78 

10. Points (-1, -20) and (-1, 1)

 x1 = -1, y1 = -20 x2 = -1, y2 = 1 d = √((-1 - (-1))² + (1 - (-20))²) = √((0)² + (21)²) = √(0 + 441) = √441 = 21.00 

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