What is the equation of the line that is perpendicular to the line and passes through the point (6, 2)?

Hey there! :D

So, when you find something perpendicular, you are finding the opposite reciprocal. 

The slope is 1/2 because:

y=mx+b <== it is in this form; m is equal to slope. 

Flip the 2 and 1 and make it negative. 

2/1= -2

We already know "C" and "D" aren't the options. Now, we can just plug in the points given to see if it works. Plug in the set of points (6,2)

y=-2x+14

2=-2(6)+14

2=-12+14

2=2 <== this works. This is our answer. Let's just make sure by checking the other one. 

y=-2x-2

2=-2(6)-2

2=-12-2

2=-14 <== that is not true. 

The first option is correct.

I hope this helps!
~kaikers