Final answer:
The student is looking to find the equation of a line passing through (-5,9) with an undefined slope. In mathematics, a line with an undefined slope is vertical, so the equation is simply x = -5, indicating all points on the line share the same x-coordinate.
Step-by-step explanation:
The question is asking to find the equation of a line that passes through the point (-5,9) and has an undefined slope. In mathematics, when a line has an undefined slope, it means that the line is vertical. A vertical line has an equation of the form x = a, where a is the x-coordinate of every point on the line.
In this case, since the line passes through the point (-5,9), the equation of the line is x = -5. This is because every point on the line will have an x-coordinate of -5. The y-coordinate can be any number, but the x-coordinate will always be -5. This is consistent with a vertical line, which does not vary in the x-direction.
Therefore, the equation of the line in question, which contains the point (-5,9) and has an undefined slope, is x = -5.