1.9 EXERCISE SET Practice Exercises In Exercises 1-18, find the distance between each pair of points. If necessary, express answers in simplified radical form and then round to two decimal places. 1. \( (2,3) \) and \( (14,8) \) 2. \( (5,1) \) and \( (8,5) \) 3. \( (4,-1) \) and \( (-6,3) \) 4. \( (2,-3) \) and \( (-1,5) \) 5. \( (0,0) \) and \( (-3,4) \) 6. \( (0,0) \) and \( (3,-4) \) 7. \( (-2,-6) \) and \( (3,-4) \) 8. \( (-4,-1) \) and \( (2,-3) \) 9. \( (0,-3) \) and \( (4,1) \) 10. \( (0,-2) \) and \( (4,3) \) 11. \( (3.5,8.2) \) and \( (-0.5,6.2) \) 12. \( (2.6,1.3) \) and \( (1.6,-5.7) \)
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To find the distance between two points \((x_1, y_1)\) and \((x_2, y_2)\) in a coordinate plane, we use the distance formula: \[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \] Let's apply this formula to each pair of points: Show more…
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