Problema Solution

Given the function f(x) = 3x - 9

a. Find the rate of change between the two stated values for x: 7 to 8

b. Find the equation of a secant line containing the given points: (7, f(7)) and (8, f(8))

Answer provided by our tutors

f(x) = 3x - 9

f(7)=3*7-9=12

f(8)=3*8-9=15

rate of change between the values of x:7 & 8=15-12=3

the two points are (7,12) (8,15)

 

equation of the straight line,

 

y-12=12-15/7-8 (x-7)

=>y-12=3(x-7)

=>y-12=3x-21

=>3x-y=21-12=9