Question: User: how did you know where point $A$ and $B$ were without estimating
1. The question asks how to determine the exact locations of points $A$ and $B$ without estimating.
2. In geometry or coordinate problems, points like $A$ and $B$ are usually defined by given coordinates, equations, or geometric constraints.
3. To find exact positions, use the given data such as intersection of lines, distances, or formulas rather than guessing.
4. For example, if $A$ and $B$ lie on a line defined by an equation, solve the equation or system of equations exactly.
5. If coordinates are given, plot them directly without estimation.
6. Using algebraic methods or geometric properties ensures precise location of points $A$ and $B$ without estimation.