(a) Explain why any straight line in the Cartesian plane can be completely determined…

MATHEMATICS · Subjective · CBSE · Mathematics · Linear Equations in Two Variables · Linear Equations in Two Variables

Problem

(a) Explain why any straight line in the Cartesian plane can be completely determined by knowing the coordinates of only two distinct points on it. (b) Consider the equation 3x−2y+6=03x - 2y + 6 = 0. Without actually drawing the graph, decide whether the line represented by this equation will cut the first quadrant of the Cartesian plane. Give a clear reason for your answer based on suitable points or intercepts.

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