different quotient of f

Question

f(x)=-3x+2 (express the slope of secant line of each function of terms of x and h

 

m_sec=f(x+h)-f(x)

               h

m_sec= -3

 

 

Answer 1

f(x) = -3x + 2

 

m_sec = [f(x+h)-f(x)]/h

 

= [(-3(x+h)+2) - (-3x+2)]/h    

 

= (-3x - 3h + 2 + 3x - 2)/h

 

= -3h/h

 

= -3