Help me check my slope question?

Question

anonymous · Answer

Write the equation of a line (in slope intercept form) that is perpendicular to y=1/4x-6 that passes through the poin (6,4)

anonymous · Answer

I MEAN 1/2

anonymous · Answer

y=1/2x-6

anonymous · Answer

So... isn't that already slope intercept form?

anonymous · Answer

I'm really confused...

anonymous · Answer

thats the slope intercept form of the line it is perpendicular to. you're trying to find the other line.

anonymous · Answer

So, I have to reciprocal it?

mertsj · Answer

What is the slope of y = 1/4x-6?

anonymous · Answer

OH. I see nao.

anonymous · Answer

Pshhh.

anonymous · Answer

so it becomes y=-1/2-6 correct?

anonymous · Answer

No, you have to take the slope, reciprocal it and change the sign, and then use that plus the point you have to find the equation of the other line

anonymous · Answer

Oh wait. I'm a derp. I just realized that :P

anonymous · Answer

y-4=-2(x-6) yes?

anonymous · Answer

correct, not distribute the -2 and after that add the 4 to both sides and you're done

anonymous · Answer

now*

anonymous · Answer

y=-2x+16?

anonymous · Answer

correct

mertsj · Answer

How can that be right when the slope of the given line is 1/4 and so the slope of the perpendicular is -4???

anonymous · Answer

She said that was a typo, changed it to 1/2

anonymous · Answer

So you're done. answer is y=-2x+16