The relationship between a and b is linear and decreasing.
From the table given, we have the following deductions;
y = mx + b: Represents the general formula of a line;
where;
- m is the slope
- b is the y-intercept
In this case, the slope (m) would be -1 and the y-intercept (b) would be 41 (the initial value of b).
b = -a + 41.
y = -x + c: This is another way to represent a linear function with a slope of -1. Here, c would be the y-intercept, which again would be 41. So, the equation could be: b = -a + 41.
We can see that as the value of a increases, the value of b decreases by 1.