Question

help calculating the slope of the secant line PQ

Answer 1

this is a tedious question. you wlll need to find the slope of PQ

you know P (1, 1) and you know that for Q, x will take s lot of different values

so for the function

\[f(x) = \frac{5x}{3 + 2x}\]

create a table fo values

x: 1.1 1.01 1.001 1.0001
-------------------------------------------
f(x) 1.05769 1,00598


then use the slope formula

then as P and Q get closer together... to slope of the secant gets closer to the slope of the tangent

hope this helps.

\[m = \frac{1.05769 - 1}{1.1 - 1}.... m = 0.5769\]

you need to repeat the process for each x value

Answer 2

I see. thank you so much!