Final Answer:
For the point (2,3), the correct pair of equations is a horizontal line (y = 3) and a vertical line (x = 2), matching option A.Therefore correct option is A. Horizontal line: (y = 3), Vertical line: (x = 2).
Step-by-step explanation:
In mathematics, a horizontal line has a constant (y)-coordinate, meaning the (y)-value remains the same for all points on the line. For the given point (2,3), the (y)-coordinate is 3. Therefore, the equation of the horizontal line passing through this point is (y = 3). This aligns with option A.
On the other hand, a vertical line has a constant (x)-coordinate, and the (x)-value remains the same for all points on the line. In this case, the (x)-coordinate of the given point is 2. Thus, the equation of the vertical line passing through this point is (x = 2), which is consistent with option A.
Therefore, both the horizontal and vertical lines passing through the point (2,3) are correctly represented by the equations (y = 3\) and (x = 2), respectively, as stated in option A. This aligns with the mathematical principles governing the equations of horizontal and vertical lines.