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This problem trains for: SAT-I, AMC-8, GMAT.
If the slope of a line is doubled and its y-intercept is halved, the point (4, 7) is a fixed point (belongs to the line before as well as after the transformation). What is the equation of the line?
Let the line have the expression:
After doubling the slope and halving the y-intercept, the transformed line has the expression:
The point (4, 7) is fixed:
Solve the system for m and n: