Mathematics

Mathematics

Problem

Point QQ is located 3.53.5 units to the left of the y-axis and the same distance below the x-axis. a. (i) Write the coordinates of QQ. b. (ii) State the quadrant in which QQ lies.
Intuitive explanation

Point QQ is defined by its distance from both axes—a coordinate geometry problem. The key insight is that "distance to the left of the y-axis" means the xx-coordinate is negative, and "distance below the x-axis" means the yy-coordinate is negative. Once you translate those directional descriptions into signed coordinates, you can write QQ as an ordered pair.

Intuitive explanation

Point QQ is defined by its distance from both axes—a coordinate geometry problem. The key insight is that "distance to the left of the y-axis" means the xx-coordinate is negative, and "distance below the x-axis" means the yy-coordinate is negative. Once you translate those directional descriptions into signed coordinates, you can write QQ as an ordered pair.

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