A straight road on a map is represented by the line

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

Problem

A straight road on a map is represented by the line 5x−y+8=05x - y + 8 = 0. A service road is to be constructed through the point (2,3)(2, 3) and must run parallel to the existing road. Which of the following is the equation of the service road in slope–intercept form? (a) y=5x+7y = 5x + 7 (b) y=−15x+175y = -\dfrac{1}{5}x + \dfrac{17}{5} (c) y=5x−7y = 5x - 7 (d) y=−5x+13y = -5x + 13

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