Question

# Find the equation of the line: parallel to the x-axis passing through the point (-3;4)

Answer

y = 4

- Identify the slope of a line parallel to the x-axis. A: The slope of a line parallel to the x-axis is 0.
- Use the point-slope form of the equation to find the equation of the line. A: The point-slope form of the equation is y - y1 = m(x - x1), where m is the slope, and (x1,y1) is the point on the line.
- Substitute the given values. A: The point (x1,y1) is (-3,4) and the slope m is 0.
- Simplify the equation. A: y - 4 = 0(x - (-3)) => y - 4 = 0(x + 3) => y = 4.