Subjects algebra

Line Parallel X Axis 4E5B4E

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1. **Problem:** Find the equation of the straight line which passes through the point (2, -3) and is parallel to the x-axis. 2. **Concept:** A line parallel to the x-axis has a constant y-value for all x. Its equation is of the form $$y = c$$ where $$c$$ is the y-coordinate of any point on the line. 3. **Given:** Point (2, -3) lies on the line. 4. **Solution:** Since the line is parallel to the x-axis, the y-coordinate is constant and equal to -3. 5. **Equation:** $$y = -3$$ 6. **Rearranged form:** $$y + 3 = 0$$ 7. **Explanation:** This means the line crosses the y-axis at -3 and runs horizontally, never changing its y-value. **Final answer:** $$y + 3 = 0$$