Teacher:Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid.
Teacher: Now, understand the problem? Solve this instance: Problem: line q has the equation 5 y 3 x = 30. if line s is perpendicular to q, has an integer for its y - intercept, and intersects q in the second quadrant, then how many possible line s ' s exist ? ( note: intersections on one of the axes do not count. )
Options: a. 22, b. 33, c. 36, d. 41, e. 58
Student:
a