what is the equation in slope-intercept form for g(x) is perpendicular to h(x) = -4x - 12 and g(5) = 3/4

Question

what is the equation in slope-intercept form for g(x) is perpendicular to h(x) = -4x - 12 and g(5) = 3/4

Answer 1

Perpendicular ⇒

 

m = -1/-4 = 1/4

 

g(x) = (1/4)x + b

 

3/4 = (1/4)(5) + b

 

b = -1/2

 

g(x) = (1/4)x - 1/2

 

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