Teacher didnt really explain this problem very well to me so can i get another breakdown

Question

The point P(12,10) lies on the curve y=5/x. If  is the point (x,5/x), find the slope of the secant line PQ for the following values of .

If x=0.6, the slope of PQ is:   

and if x=0.51, the slope of PQ is:   

and if x=0.4, the slope of PQ is:  

 and if x=0.49, the slope of PQ is:   

Answer 1

A secant touches a curve at two points. You need to add a diagram your point as given does not appear to lie on 5/x. You should graph 5/x.

https://www.desmos.com/calculator/bdmlvkhylk

See if you can follow this link?

If not you can graph 5/x at Desmos.com

Answer 2

Sufyan, there is something wrong with the statement of this question.

It states that P(12, 10) lies on the curve y = 5/x. If you plug x=10 into this equation, you get y=1/2, NOT y = 12.

So, the remaining questions can't be answered.

Sorry.