Problem
Question 13 of 26 Which expression gives the distance between the points \( (1,-2) \) and \( (2,4) ? \) A. \( \sqrt{(1-2)^{2}+(-2-4)^{2}} \) B. \( (1+2)^{2}+(2-4)^{2} \) C. \( (1-2)^{2}+(-2-4)^{2} \) D. \( \sqrt{(1+2)^{2}+(2-4)^{2}} \)
Solution
Step 1 ：1. \(d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}\)
Step 2 ：2. \(d = \sqrt{(2 - 1)^{2} + (4 - (-2))^{2}}\)
Step 3 ：3. \(d = \sqrt{(1 - 2)^{2} + (-2 - 4)^{2}}\)
