Final answer:
The equation of a line perpendicular to y=0 that passes through the point (-4,3) is x = -4.
Step-by-step explanation:
To find the equation of a line perpendicular to y=0 and passing through the point (-4,3), we first need to determine the slope of the given line. The line y=0 is a horizontal line with a slope of 0. Since a line perpendicular to a horizontal line is a vertical line, the slope of the perpendicular line is undefined.
Since the line is vertical, the equation of the line is x = -4. This is because the x-coordinate of any point on a vertical line remains constant, while the y-coordinate can change. Therefore, the equation of the line perpendicular to y=0 and passing through the point (-4,3) is x = -4.