The point p(5,1) lies on the curve y=5x. if q is the point (x,5x), find the slope of the secant line pq for the following values of x. if x=5.1, the slope of pq is:

5

Step-by-step explanation:

We have been given that the point lies on the curve . Q is the point . We are asked to find the slope of the secant line for .

Let us find y-coordinate corresponding to for point P as:

Now, we will use slope formula to find required slope.

Let point and point .

Using these points in slope formula, we will get:

Therefore, the slope of the line PQ is 5.