Question

The point p(5 , 1 ) lies on the curve y = \frac{5}{x}. if q is the point (x, \frac{5}{x} ), find the slope of the secant line pq for the following values of x.

Answer 1

To find the slope of the secant line PQ, we first need to find the coordinates of point Q and then calculate the slope using the difference in y-coordinates and x-coordinates.

Step-by-step explanation:

To find the slope of the secant line PQ, we first need to find the coordinates of point Q in terms of x and y.

Since point Q is given by (x, 5/x), the coordinates of point Q are (x, 5/x).

The slope of a secant line is calculated by finding the difference in y-coordinates and dividing it by the difference in x-coordinates. Therefore, the slope of secant line PQ is:

slope(PQ) = (5/x - 1) / (x - 5)