A line passes through the point and is perpendicular to

MATHEMATICS · Single correct · CBSE · Mathematics · Straight Lines · Straight Lines

Problem

A line passes through the point (4,1)(4,1) and is perpendicular to 3x+2y−6=03x + 2y - 6 = 0. Which of the following is its equation in slope–intercept form? (a) y=23x+53y = \dfrac{2}{3}x + \dfrac{5}{3} (b) y=32x−5y = \dfrac{3}{2}x - 5 (c) y=23x−53y = \dfrac{2}{3}x - \dfrac{5}{3} (d) y=−23x+113y = -\dfrac{2}{3}x + \dfrac{11}{3}

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