Question

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

Answer 1

`"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`