Agiven line has the equation 2x+12y=-1.
what is the equation in slope intercept form, of the line that is perpendicular to the given line and passes through the point (0,9)?
y=+9

2x+12y=-1
y = -1x/6 -1/12

Perpendicular lines are lines that cross one another at a 90° angle. They have slopes that are opposite reciprocals of one another. Therefore, the slope of the perpendicular line in this problem is the opposite reciprocal of -1/6 which is 6. The equation would be 

y=(6)x+9