Which is the equation of the line that passes through (6, 2) and is perpendicular to a line with slope -1/3?

a. y-6=-1/3(x-2)
b. y-2=1/3(x-6)
c. y-2=3(x-6)
d. y-6=-3(x-2)
e. y-2=-3(x-6)

Step-by-step explanation:

The slope of the perpendicular line m₂ must  be the negative reciprocal of the slope m₁ of the first line.

The only equation with m = 3 is  

This is the point slope form of the equation for a straight line through (6, 2) with slope = 3.

yes because there is exactly one y value for every x value

for function there can't be more than one value for every x value