351 views
1 vote
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:

User Simoncpu
by
6.3k points

1 Answer

3 votes

Answer:

5

Explanation:

We have been given that the point
P(1,5) lies on the curve
y=5x. Q is the point
(x,5x). We are asked to find the slope of the secant line
PQ for
x=5.1.

Let us find y-coordinate corresponding to
x=5.1 for point P as:


y=5(5.1)=25.5

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


m=(y_2-y_1)/(x_2-x_1)

Let point
(1,5)=(x_1,y_1) and point
(5.1,25.5)=(x_2,y_2).

Using these points in slope formula, we will get:


m_(PQ)=(25.5-5)/(5.1-1)=(20.5)/(4.1)=5

Therefore, the slope of the line PQ is 5.

User Gratien Asimbahwe
by
6.7k points