Question

Find the distance between points (2, 3) and (5, 7).

• A. 4
• B. 5
• C. 6
• D. 7

Hint:

Use the distance formula $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ for coordinate geometry.

Answer 1

The Correct Option is B

- Step 1: Distance formula. Distance = $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$. Points: (2, 3), (5, 7).
- Step 2: Calculate. $\Delta x = 5 - 2 = 3$, $\Delta y = 7 - 3 = 4$. Distance = $\sqrt{3^2 + 4^2} = \sqrt{9 + 16} = \sqrt{25} = 5$.
- Step 3: Verify. $3^2 + 4^2 = 25$, so distance = 5.
- Step 4: Conclusion. Option (2) 5 is correct.