Question

Classify these lines given the equations of the lines y = 3x, y = 2x, and y = 4:

A. Perpendicular
B. Parallel
C. Neither

Answer 1

The lines y = 3x, y = 2x, and y = 4 are neither perpendicular nor parallel.

Step-by-step explanation:

The given lines are y = 3x, y = 2x, and y = 4.

To classify the lines:

1. If two lines have the same slope, they are parallel.
2. If two lines have slopes that are negative reciprocals of each other (i.e., when multiplied together they equal -1), they are perpendicular.
3. If two lines do not satisfy either of the above conditions, they are neither perpendicular nor parallel.
   

In this case, the lines y = 3x and y = 2x have the same slope (both equal to 3).

Therefore, the lines y = 3x and y = 2x are parallel.

The line y = 4 has a slope of 0 and is not parallel or perpendicular to either of the other lines.

So, the lines y = 3x, y = 2x, and y = 4 are neither perpendicular nor parallel.