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line f and g are perpendicular. If the slope of line f is 4, what is the slope of line g?

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minweiterhune

Remembering that the slopes of perpendicular lines are opposite reciprocals, we know that the slope of G would have to be (-1/4).

a function whose graph is perpendicular to another, has a NEGATIVE RECIPROCAL slope to that function

let's say the slope of f(x) is a/b   then the slope of g(x) will be \(\bf slope=\cfrac{a}{{{ b}}}\qquad negative\implies -\cfrac{a}{{{ b}}}\qquad reciprocal\implies - \cfrac{{{ b}}}{a}\)

now, notice yours, f is 4, what does that make g's slope then?

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