A line y=mx+b passes through point (−4, 6) and is perpendicular to y=−12x+6. What is the value of b?

Improper fraction: 19/3

Mixed number: 6 1/3

Step-by-step explanation:

If these two lines are perpendicular, their slopes are negative reciprocals of each other. The line would be something like:

y = (1/12)x+b

So plug in the coordinate values.

6 = (1/12)(-4)+b

6 = (-1/3)+b

6 1/3 = b