To find the constants m and b in the linear function f(x) = mx + b, we can use the given information.
We are given that f[2) =1. This means that when × = 2, the value of the function f(x) is 1. Plugging these values into the function, we get:
1 = m(2) + b
We are also given that the slope of the straight line represented by f is -3. The slope of a linear function is represented by the coefficient of x, which is m in this case. So we have:
m = -3
Now we can substitute the value of m into our equation:
1 = (-3\/2) + b
Simplifying, we have:
1=_6 + b
To solve for b, we can add 6 to both sides of the equation:
7=b
So, the constants m and b in the linear function f(x) = mx + b are m = -3 and b = 7.