Question

;knkp;;mnk;

Answer 1

Well, before you even do the problem, eliminate the first two choices, because neither have perpendicular slopes. Remember, a slope is perpendicular to another's slope if it is the negative inverse. In this case, the slope of our unknown line must be -9/4.

So if we use our point:
y = mx + b
(3) = (-9/4)(4) + b
3 = -9 + b
b = 12

Therfore, the 3rd option is correct: y = -9/4 x + 12

Answer 2

Thanks so much! I like the way you solved it! It was fast and simple! :)