Final answer:
The correct answer is Option D.The equation that is perpendicular to the y-axis and passes through the point (-5, -6) is x=-6.
Step-by-step explanation:
The equation that is perpendicular to the y-axis and passes through the point (-5, -6) is d. x=-6.
A line that is perpendicular to the y-axis is a vertical line, and its equation has the form x = k, where k is a constant.
Since we want the line to pass through the point (-5, -6), the value of x at that point should be -5. So, the equation x = -6 satisfies both conditions and is the answer.