find the function rule.
X:-2 -1 0 1 2
Y:9 4 -1 -6 -11
when x changes by 1, y changes by -5. So, the slope is -5
y = -5x + b
Since when x=0, y=-1,
y = -5x-1
thank you thousands!!!!!!!!!!!!!
To find the function rule that relates the values of X and Y, we need to observe the pattern in the given data.
Let's examine the relationship between X and Y by looking at the changes in their values.
Starting with X: -2, if we add 1 to it, we get -1. Similarly, adding 1 to -1 gives us 0, and so on. This indicates that X is decreasing by 1 unit each time.
Now let's look at Y: 9, if we subtract 5 from it, we get 4. By subtracting 5 from 4, we get -1, and so on. This suggests that Y is decreasing by 5 units with each increase in X.
Based on these observations, we can conclude that the function rule is:
Y = -5X + a
To find the value of 'a' (the constant term), we can choose any pair of values for X and Y and substitute them into the equation. Let's use X = 0 and Y = -1:
-1 = -5 * 0 + a
Simplifying the equation, we find:
-1 = a
Therefore, the function rule relating X and Y is:
Y = -5X - 1