Answer:
y = -5x - 1
Explanation:
To find the function rule:
We use the equation "y = mx + b"
Function rule: What we need to do to "x" to get "y"
Look at the x-values. You need to know if they are going up by one or if they are skipping. In this case, they are going up by one.
Next, look at the y-values and see how they are changing. The y-values in this table are going down by 5 every time, which means we will multiply each "x" by "-5".
After that, pick the first 'x" in the table and multiply it by "-5", then figure out what you need to do to make it equal the y-value.
You need to subtract 1. This means the rule is "y = -5x - 1"
To check if this is correct, we do the following:
y = -5x - 1
Substitute the first x and y values into the equation
9 = -5(-2) - 1
Multiply -5 and -2
9 = 10 - 1
Subtract 1 from 10
9 = 9
True
Let's check the second equation
y = -5x - 1
Substitute the x and y values in the second column of the table
4 = -5(-1) - 1
Multiply -5 and -1
4 = 5 - 1
Subtract 1 from 5
4 = 4
True
So, the function rule "y = -5x - 1" is true