Finding Conversion Formula for P & Q Coordinates

[avyunker]

Points on the same line have two different coordinate systems: P and Q. The corresponding coordinates are denoted by small letters p and q. The two systems are related by a conversion formula q=sp+t.

The point with P-coordinate -52 has Q-coordinate 634.

The point with P-coordinate -4 has Q-coordinate 452.

The conversion formula must be q= ? ⋅p+ ?

 

[Prove It]

Substitute in the p and q values from both points, then you have two equations you can solve simultaneously for s and t.