SOLUTION: Please help me with this question: What is the equation of a line, g(x), that is perpendicular to f(x)=1/2x+2 and passes through (0,2)? a) g(x)=-4x+2 b) g(x)=-4x-2 c) g(x)=

Question 144517: Please help me with this question:
What is the equation of a line, g(x), that is perpendicular to f(x)=1/2x+2 and passes through (0,2)?
a) g(x)=-4x+2
b) g(x)=-4x-2
c) g(x)=-4x-8
d) g(x) can not be determined with this information
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The slope of f(x) is 1/2, as it's already in the for y=mx+b
The slope of g(x) is -1/2, as it's perpendicular.
(y - Y) = m(x - X) (X,Y) is point (0,2)
y - 2 = -1/2(x - 0)
y - 2 = -x/2
2y - 4 = -x
x+2y = 4

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