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 2 years ago

·

Answers

0

To find the slope, we have this formula: y2y1x2x1\frac{y_2 - y_1}{x_2 - x_1}.
The given points are P(3, 9) and Q(x, 6xx1\frac{6x}{x - 1})

So, slope = 6xx19x3\frac{\frac{6x}{x \, - \, 1} - 9}{x \, - \, 3} = 6x9(x1)(x1)(x3)\frac{6x \, - \, 9(x \, - \, 1)}{(x \, - \, 1)(x \, - \, 3)} = 93x(x1)(x3)\frac{9 \, - \, 3x}{(x \, - \, 1)(x \, - \, 3)} = 3x1\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 2 years ago

Post your answer

Recommended Books

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