# Geometry

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In the standard (x,y) coordinate plane, if the x-coordinate of each point on a line is 4 less than twice its y-coordinate, what is the slope of the line?

• Geometry -

you could just pick two points that satisfy your given condition,
pick any y,
e.g. y = 4, then x = 4 ---> (4,4)
y = 5, then 6 --> (6,5)

slope = (5-4)/(6-4) = 1/2

or

just translate "x-coordinate of each point on a line is 4 less than twice its y-coordinate"
---> x = 2y - 4
2y = x+4
y = (1/2)x + 2--- compare with y = mx + b
slope = 1/2

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