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To write the equation of a line in the form ( y = mx + b ) with a slope of ( \frac{1}{4} ) that passes through the point ( (12, 3) ), start by substituting the slope and the coordinates of the point into the equation. Plugging in ( m = \frac{1}{4} ) and the point ( (12, 3) ):

[ 3 = \frac{1}{4}(12) + b ]

This simplifies to:

[ 3 = 3 + b ]

Solving for ( b ) gives ( b = 0 ). Thus, the equation of the line is:

[ y = \frac{1}{4}x ].

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3mo ago

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