What is the distance between the points $(2,3)$ and $(11,10)$ on a coordinate plane?

Step-by-step solution

1. Use the distance formula: $d=\sqrt{(x_2-x_1{)}^2+(y_2-y_1{)}^2}$.
2. Compute the differences: $x_2-x_1=11-2=9$ and $y_2-y_1=10-3=7$.
3. Square the differences: $9^2=81$ and $7^2=49$.
4. Add them: $81+49=130$.
5. Take the square root: $d=\sqrt{130}$.
6. Thus the distance is $\sqrt{130}$.

Concept tested: Distance between two points

Published 10 October 2026 · How this solution was prepared and checked