In which quadrant do both x and y coordinates of a point have positive values?

The correct answer is the first quadrant because, in the Cartesian coordinate system, the first quadrant is defined by having both x and y coordinates greater than zero. This means that any point located in this quadrant will have positive values for both coordinates.

The first quadrant is located in the upper right section of the Cartesian plane, where both x (horizontal axis) and y (vertical axis) are increasing. Therefore, any point that lies there will meet the conditions given in the question.

In contrast, the other quadrants are defined by different signs of the x and y coordinates. The second quadrant has a negative x value and a positive y value, the third quadrant has both x and y values negative, and the fourth quadrant features a positive x value and a negative y value. Each of these configurations does not fulfill the condition of both coordinates being positive, which solidifies the first quadrant as the only correct choice.