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Answer:
3x -2y = 12
Step-by-step explanation:
The constant in the standard form equation for a line is proportional to the distance of the line from the origin. Dilation by a factor of 2 moves the line to twice its original distance from the origin. The equation of the new line will have the constant 2×6 = 12:
3x -2y = 12
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<em>Additional comment</em>
The actual distance of line ax+by=c from the origin is ...
d = |c|/√(a²+b²)
The distance from any point in the plane to the line is ...
d = |ax +by -c|/√(a²+b²)
The previous equation is for the special case of (x, y) = (0, 0), the distance from the origin.
