Consider the point in the Cartesian plane.

MATHEMATICS · Multi-part · AoPS · Mathematics · Lines Graphing · Lines Graphing

Problem

Consider the point P(−5,7)P(-5,7) in the Cartesian plane. (i) Find the equation of the vertical line that passes through PP. (ii) Find the equation of the horizontal line that passes through PP. (iii) Determine the coordinates of the point where the horizontal line obtained in part (ii) meets the yy-axis. (iv) Determine the coordinates of the point where the vertical line obtained in part (i) meets the xx-axis.

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