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To find the equation of the line perpendicular to (y - 4x + 2 = 0), we first determine the slope of the given line, which is 4. The slope of the line perpendicular to it will be the negative reciprocal, (-\frac{1}{4}). Using the point (4, 4) and the point-slope form of the equation (y - y_1 = m(x - x_1)), we have:

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

This simplifies to (y = -\frac{1}{4}x + 5).

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6d ago

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