Question

Slope of a secant line (work attached, talk about trial in comments)

Answer 1

You’ve written the wrong Q on line 2, it’s supposed to be x/(1+x) not x(1+x)

Answer 2

I’ve been struggling with this question but i have no idea why

I know that the slope of a secant line is just (y2 - y1)/(x2 - x1) and i also have tried ((f(b) - f(a))/(b-a) and that yielded the same result

I think what is hard with this is the point isn’t given directly, so I suppose my math is wrong there

What I have been trying, knowing Q is (x, x(1 + x)) is plugging in the value of x and then using the slope equation

I have done this several times for each point and so I am assuming that I am doing that part correctly

Answer 3

For x = 0.5, I get that the y-value is 0.5 / (1 + 0.5) = 0.5 / 1.5 = 1/3, compared to your (0.5, 0.75). Your y values don't seem to match with the points on the curve x / (1 + x)?