What is the slope if the secant line of the function #y = 4x^2 – 2x + 1# between x = 3 and x = 6?

1 Answer
Aug 18, 2017

#"slope "=34#

Explanation:

#"the slope of the secant line is"#

#•color(white)(x)m=(f(6)-f(3))/(6-3)#

#"that is "" difference in y"/"difference in x"" between the 2 points"#

#f(6)=4(6)^2-2(6)+1#

#color(white)(xxx)=144-12+1#

#color(white)(xxx)=133#

#f(3)=4(3)^2-2(3)+1#

#color(white)(xxx)=36-6+1#

#color(white)(xxx)=31#

#rArrm=(133-31)/3=102/3=34#