Question

Which of the following equation describes a line passing through the point (-2, -3) and parallel to the x-axis?

• A. $y = -3$
• B. $x = -2$
• C. $y - x = 6$
• D. $x \cdot y = 6$

Hint:

Parallel to x-axis: $y = \text{constant}$. Parallel to y-axis: $x = \text{constant}$.

Answer 1

The Correct Option is A

Step 1: Concept
A line parallel to the x-axis has a constant y-value for all points on the line.

Step 2: Analysis
The general equation for a line parallel to the x-axis is $y = k$, where $k$ is the y-coordinate of any point it passes through.

Step 3: Reasoning
The line passes through (-2, -3). The y-coordinate is -3. Therefore, $y = -3$.

Step 4: Conclusion
The correct equation is $y = -3$. Final Answer: (A)