Final answer:
The equation of the line that is perpendicular to y = Z and passes through (-6,-9) is x = -6.
Step-by-step explanation:
The equation of the line that is perpendicular to y = Z and passes through (-6, -9) can be found by using the fact that perpendicular lines have slopes that are negative reciprocals of each other.
Since y = Z has a slope of 0, the slope of the perpendicular line will be undefined.
So the equation of the perpendicular line passing through (-6, -9) is x = -6.