Question

Line m is perpendicular to x - 3y = -1 and passes through (9,5). What is the slope of line m?

Answer 1

Answer:

  (A)  -3

Step-by-step explanation:

Solving for y, the equation of the given line is ...

  x +1 = 3y

  y = (1/3)x +1/3

So, the slope of the given line is the x-coefficient, 1/3. Then the slope of the perpendicular line will be the opposite of the inverse of that:

  slope of perpendicular = -1/(1/3) = -3