Logo
0

Let f(x) = 6x/x-1. Find the slope of secant lines on the graph

It is given that f(x) = 6x/x-1. And find the slope of secant lines on graph through P(3, 9) and Q, for the x-coordinate of Q given in each part below. Final answers must be exact.
a) x = 4
b) x = 3.1

ramesrames asked 4 years ago

·

Answers

0

To find the slope, we have this formula: y2−y1x2−x1\frac{y_2 - y_1}{x_2 - x_1}.
The given points are P(3, 9) and Q(x, 6xx−1\frac{6x}{x - 1})

So, slope = 6xx − 1−9x − 3\frac{\frac{6x}{x \, - \, 1} - 9}{x \, - \, 3} = 6x − 9(x − 1)(x − 1)(x − 3)\frac{6x \, - \, 9(x \, - \, 1)}{(x \, - \, 1)(x \, - \, 3)} = 9 − 3x(x − 1)(x − 3)\frac{9 \, - \, 3x}{(x \, - \, 1)(x \, - \, 3)} = −3x − 1\frac{-3}{x \, - \, 1}

a) x = 4
slope = −33\frac{-3}{3} = 1

b) x = 3.1
slope = −32.1\frac{-3}{2.1} (Leave it in fraction because it is stated in the question that answers must be exact).

davidapdavidap answered 3 years ago

Post your answer

YouTube LogoFind us on YouTubePatreon LogoSupport us on Patreon

Recommended Books

Reading books is a great way to learn. Here are some of the books we recommend.