This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
y = -1
4. Determine the equation of the line passing through the point and parallel to the x-axis. Step 1: A line parallel to the x-axis is a horizontal line. The equation of a horizontal line is of the form , where is the y-coordinate of any point on the line. Step 2: The line passes through , so its y-coordinate is . The equation of the line is . The gradient of any horizontal line is .
5. Determine the equation of the line passing through the point and parallel to the y-axis. Step 1: A line parallel to the y-axis is a vertical line. The equation of a vertical line is of the form , where is the x-coordinate of any point on the line. Step 2: The line passes through , so its x-coordinate is . The equation of the line is . The gradient of any vertical line is .
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4. Determine the equation of the line passing through the point (0, -1) and parallel to the x-axis.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.