Question

Marcus, Devin, and Ariel are in disagreement about the equation of the line that is parallel to the y-axis and goes through the point (-11, -6). Who is correct?

A. Marcus with y = -6
B. Devin with x = -11
C. Ariel with x = -6
D. None of them are correct. The correct equation is x = -11, and it represents a vertical line.

Answer 1

The correct equation for a line parallel to the y-axis passing through (-11, -6) is x = -11.

Step-by-step explanation:

The student is asking which equation correctly represents a line that is parallel to the y-axis and goes through the point (-11, -6). The correct answer is B. Devin with x = -11. A line that is parallel to the y-axis is a vertical line, and its equation is of the form x = a constant. The constant is the x-coordinate of the point through which the line passes. Since the point given is (-11, -6), the equation of the line parallel to the y-axis that passes through this point is x = -11.