1. For the curve 𝑓(𝑥) = √𝑥 + 6, find the slope of the secant line through the points (3, 𝑓(3)) and (5, 𝑓(5))

Question

1. For the curve 𝑓(𝑥) = √𝑥 + 6, find the slope of the secant line through the points (3, 𝑓(3)) and (5, 𝑓(5))

Answer 1

the slope would be (f(5)-f(3))/2

f(5) = sqrt(5)+6

f(3) = sqrt(3)+6

f(5)-f(3)=sqrt(5)-sqrt(3)