MHB Finding Conversion Formula for P & Q Coordinates

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The discussion focuses on finding a conversion formula between two coordinate systems, P and Q, represented by the equation q=sp+t. Two specific points are provided: P-coordinate -52 corresponds to Q-coordinate 634, and P-coordinate -4 corresponds to Q-coordinate 452. By substituting these values into the conversion formula, two equations can be established to solve for the variables s and t. The goal is to derive the specific conversion formula that relates the two coordinate systems. This mathematical relationship is essential for accurately converting between P and Q coordinates.
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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+ ?
 
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Substitute in the p and q values from both points, then you have two equations you can solve simultaneously for s and t.
 

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