How do you write the equation using function notation:? through (-4, -1); perpendicular to #F(x)=2x-4#?

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Answer 1 · 2015-05-26T20:45:48

The slope (#m#) of the original line is the coefficient of #x#, namely #2#

The slope of any perpendicular line will be #-1/m#, that is #-1/2#

So we're looking for #c# so that

#G(x) = -1/2x + c# satisfies #G(-4) = -1#

So:
#-1 = G(-4) = -1/2(-4) + c = 2 + c#

Subtracting #2# from both sides, we find #c = -3#.

#G(x) = -1/2x -3#