Discussion
The line \(y = x\) passes through which quadrant(s)?
Answer: C
The line y = x consists of all points where the x-coordinate is equal to the y-coordinate.
In Quadrant I, both x and y are positive (e.g., (2, 2)). The condition is met.
In Quadrant III, both x and y are negative (e.g., (-3, -3)). The condition is met.
In Quadrants II and IV, the signs of x and y are different, so y cannot equal x.
Therefore, the line passes through Quadrants I and III.
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