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Write equations of the horizontal and vertical lines that pass through the given point.

a. (2,3)

A. Horizontal line: y = 3, Vertical line: x = 2
B. Horizontal line: y = 2, Vertical line: x = 3
C. Horizontal line: x = 3, Vertical line: y = 2
D. Horizontal line: x = 2, Vertical line: y = 3

User Fiz
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1 Answer

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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.

User Dale Myers
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