43.0k views
0 votes
What is the slope of the secant line that intersects the graph of f(x)=0.5⁻ˣ at x=1 and x=5

User Banno
by
7.9k points

1 Answer

2 votes

Final answer:

To find the slope of the secant line that intersects the graph of f(x)=0.5⁻ˣ at x=1 and x=5, calculate the difference in the y-values and the difference in the x-values between these two points. Then, divide the difference in the y-values by the difference in the x-values to find the slope.

Step-by-step explanation:

To find the slope of the secant line that intersects the graph of f(x)=0.5⁻ˣ at x=1 and x=5, we need to calculate the difference in the y-values and the difference in the x-values between these two points. The slope of a line is found by dividing the difference in the y-values by the difference in the x-values. Let's calculate it step by step:

  1. First, find the y-values of f(x) at x=1 and x=5. Plug these values into the function f(x)=0.5⁻ˣ to get f(1) and f(5).
  2. Second, calculate the difference in the y-values: f(5) - f(1).
  3. Third, calculate the difference in the x-values: 5 - 1.
  4. Finally, divide the difference in the y-values by the difference in the x-values to get the slope of the secant line.

User Ermir
by
7.4k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.