d. None of the above
The equation of the line passing through \( A(2,4) \) and perpendicular to \( u: y=-2 x+3 \) is:

Answer

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Answer

3. Use the point-slope form and the coordinates of A: \(y - 4 = \frac{1}{2}(x - 2)\)

Steps

Step 1 ：1. Find the slope of line u: \(m_u = -2\)

Step 2 ：2. Calculate the negative reciprocal of \(m_u\) for the perpendicular line: \(m_p = \frac{1}{2}\)

Step 3 ：3. Use the point-slope form and the coordinates of A: \(y - 4 = \frac{1}{2}(x - 2)\)