Find the average rate of change of g( x ) = −4x + 1 between the points ( − 4 , 17 ) and ( 1 , − 3 )

Question

Find the average rate of change of  between the points  and 

Answer 1

g(x) = -4x +1

g'(x)=-4

average rate of change = the derivative = the slope = the coefficient of the x term = -4

= "rise over run" = difference in y coordinates divided by difference in x coordinates = (17+3)/(-4-1) 20/-5=-4