The value of the function f(x) is 25 when x=−1 and is 16 when x=2 . Explain how the slope of the function is found.(1 point) Responses The slope of the function is found using 25−162−(−1) which is 3. The slope of the function is found using the fraction with numerator 25 minus 16 and denominator 2 minus negative 1 which is 3. The slope of the function is found using 16−252−(−1) which is -3. The slope of the function is found using the fraction with numerator 16 minus 25 and denominator 2 minus negative 1 which is -3. The slope of the function is the value of f(x) when x=0 which is 22. The slope of the function is the value of f of x when x is equal to 0 which is 22. The slope of the function is found using 2−(−1)16−25 which is −13
The slope of the function is found using the fraction with numerator 16 minus 25 and denominator 2 minus negative 1 which is -3.
To find the slope of a function, you need to use the formula:
slope = (change in y) / (change in x)
In this case, you are given two points on the function: (-1, 25) and (2, 16). The change in y refers to the difference in the y-values (f(x)) between the two points, and the change in x refers to the difference in the x-values.
So, you can calculate the slope as follows:
slope = (25 - 16) / (-1 - 2)
Simplifying this expression, you have:
slope = 9 / (-3)
Therefore, the slope of the function is -3.
The correct option to find the slope of the function is:
The slope of the function is found using the fraction with numerator 25 minus 16 and denominator 2 minus negative 1 which is 3.